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3822032032 = 257132945259
BaseRepresentation
bin1110001111001111…
…1001010010100000
3100212100211100021221
43203303321102200
530311420011112
61431131224424
7163466510350
oct34363712240
910770740257
103822032032
11169148a265
128a7ba8114
1348baac720
14283868b60
1517581de07
hexe3cf94a0

3822032032 has 96 divisors (see below), whose sum is σ = 9580636800. Its totient is φ = 1459842048.

The previous prime is 3822032029. The next prime is 3822032041. The reversal of 3822032032 is 2302302283.

3822032032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3822031988 and 3822032006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61819 + ... + 107077.

It is an arithmetic number, because the mean of its divisors is an integer number (99798300).

Almost surely, 23822032032 is an apocalyptic number.

3822032032 is a gapful number since it is divisible by the number (32) 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 3822032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4790318400).

3822032032 is an abundant number, since it is smaller than the sum of its proper divisors (5758604768).

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

3822032032 is a wasteful number, since it uses less digits than its factorization.

3822032032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45318 (or 45310 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 3822032032 is about 61822.5851287375. The cubic root of 3822032032 is about 1563.5007989425.

The spelling of 3822032032 in words is "three billion, eight hundred twenty-two million, thirty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 32 52 56 58 91 104 112 116 182 203 208 224 232 364 377 406 416 464 728 754 812 928 1456 1508 1624 2639 2912 3016 3248 5278 6032 6496 10556 12064 21112 42224 45259 84448 90518 181036 316813 362072 588367 633626 724144 1176734 1267252 1312511 1448288 2353468 2534504 2625022 4118569 4706936 5069008 5250044 8237138 9187577 9413872 10138016 10500088 16474276 17062643 18375154 18827744 21000176 32948552 34125286 36750308 42000352 65897104 68250572 73500616 119438501 131794208 136501144 147001232 238877002 273002288 294002464 477754004 546004576 955508008 1911016016 3822032032