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4382885376 = 2934105683
BaseRepresentation
bin1000001010011110…
…11000011000000000
3102022110011122110000
410011033120120000
532434004313001
62002524240000
7213416624322
oct40517303000
912273148400
104382885376
11194a02a721
12a239a0000
1354b04cccc
142d8141612
151a9ba7a86
hex1053d8600

4382885376 has 100 divisors (see below), whose sum is σ = 13081882572. Its totient is φ = 1460947968.

The previous prime is 4382885371. The next prime is 4382885483. The reversal of 4382885376 is 6735882834.

It is a super-2 number, since 2×43828853762 = 38419368438309322752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4382885371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 11370 + ... + 94313.

Almost surely, 24382885376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4382885376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6540941286).

4382885376 is an abundant number, since it is smaller than the sum of its proper divisors (8698997196).

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

4382885376 is an equidigital number, since it uses as much as digits as its factorization.

4382885376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105713 (or 105688 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 4382885376 is about 66203.3637816086. The cubic root of 4382885376 is about 1636.5151782079.

The spelling of 4382885376 in words is "four billion, three hundred eighty-two million, eight hundred eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4608 5184 6912 10368 13824 20736 41472 105683 211366 317049 422732 634098 845464 951147 1268196 1690928 1902294 2536392 2853441 3381856 3804588 5072784 5706882 6763712 7609176 8560323 10145568 11413764 13527424 15218352 17120646 20291136 22827528 27054848 30436704 34241292 40582272 45655056 54109696 60873408 68482584 81164544 91310112 121746816 136965168 162329088 182620224 243493632 273930336 365240448 486987264 547860672 730480896 1095721344 1460961792 2191442688 4382885376