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4396006608 = 2437172692861
BaseRepresentation
bin1000001100000010…
…11011110011010000
3102100100212021101120
410012001123303100
533000334202413
62004113402240
7213636303540
oct40601336320
912310767346
104396006608
111956481914
12a28269380
13550995456
142d9b99320
151aadea723
hex10605bcd0

4396006608 has 160 divisors (see below), whose sum is σ = 13798045440. Its totient is φ = 1177313280.

The previous prime is 4396006607. The next prime is 4396006651. The reversal of 4396006608 is 8066006934.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 4396006608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4396006603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1535098 + ... + 1537958.

It is an arithmetic number, because the mean of its divisors is an integer number (86237784).

Almost surely, 24396006608 is an apocalyptic number.

4396006608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4396006608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6899022720).

4396006608 is an abundant number, since it is smaller than the sum of its proper divisors (9402038832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4396006608 is a wasteful number, since it uses less digits than its factorization.

4396006608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3165 (or 3159 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 4396006608 is about 66302.3876493147. The cubic root of 4396006608 is about 1638.1466531187.

The spelling of 4396006608 in words is "four billion, three hundred ninety-six million, six thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 269 272 336 357 408 476 538 714 807 816 952 1076 1428 1614 1883 1904 2152 2856 2861 3228 3766 4304 4573 5649 5712 5722 6456 7532 8583 9146 11298 11444 12912 13719 15064 17166 18292 20027 22596 22888 27438 30128 32011 34332 36584 40054 45192 45776 48637 54876 60081 64022 68664 73168 80108 90384 96033 97274 109752 120162 128044 137328 145911 160216 192066 194548 219504 240324 256088 291822 320432 340459 384132 389096 480648 512176 583644 680918 768264 769609 778192 961296 1021377 1167288 1361836 1536528 1539218 2042754 2308827 2334576 2723672 3078436 4085508 4617654 5387263 5447344 6156872 8171016 9235308 10774526 12313744 13083353 16161789 16342032 18470616 21549052 26166706 32323578 36941232 39250059 43098104 52333412 64647156 78500118 86196208 91583471 104666824 129294312 157000236 183166942 209333648 258588624 274750413 314000472 366333884 549500826 628000944 732667768 1099001652 1465335536 2198003304 4396006608