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376864928 = 25115411979
BaseRepresentation
bin10110011101101…
…000000010100000
3222021010201111022
4112131220002200
51232434134203
6101221305012
712224204366
oct2635500240
9867121438
10376864928
11183804220
12a6265168
13601011cb
14380a1636
1523143a38
hex167680a0

376864928 has 48 divisors (see below), whose sum is σ = 811308960. Its totient is φ = 170899200.

The previous prime is 376864921. The next prime is 376864931. The reversal of 376864928 is 829468673.

It is a self number, because there is not a number n which added to its sum of digits gives 376864928.

It is not an unprimeable number, because it can be changed into a prime (376864921) 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 7 ways as a sum of consecutive naturals, for example, 189443 + ... + 191421.

It is an arithmetic number, because the mean of its divisors is an integer number (16902270).

Almost surely, 2376864928 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 376864928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405654480).

376864928 is an abundant number, since it is smaller than the sum of its proper divisors (434444032).

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

376864928 is a wasteful number, since it uses less digits than its factorization.

376864928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541 (or 2533 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 53.

The square root of 376864928 is about 19413.0092463791. The cubic root of 376864928 is about 722.3182274408.

The spelling of 376864928 in words is "three hundred seventy-six million, eight hundred sixty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 541 1082 1979 2164 3958 4328 5951 7916 8656 11902 15832 17312 21769 23804 31664 43538 47608 63328 87076 95216 174152 190432 348304 696608 1070639 2141278 4282556 8565112 11777029 17130224 23554058 34260448 47108116 94216232 188432464 376864928