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376981056 = 26328092
BaseRepresentation
bin10110011110000…
…100011001000000
3222021100121210100
4112132010121000
51233001343211
6101224002400
712225200064
oct2636043100
9867317710
10376981056
111838834a1
12a6300400
136014201a
14380d1aa4
1523168156
hex16784640

376981056 has 63 divisors (see below), whose sum is σ = 1081885441. Its totient is φ = 125505024.

The previous prime is 376980991. The next prime is 376981057. The reversal of 376981056 is 650189673.

It is a happy number.

The square root of 376981056 is 19416.

It is a perfect power (a square), and thus also a powerful number.

376981056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 331822656 + 45158400 = 18216^2 + 6720^2 .

It is a super-2 number, since 2×3769810562 = 284229433165750272, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (376981057) 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 8 ways as a sum of consecutive naturals, for example, 465580 + ... + 466388.

Almost surely, 2376981056 is an apocalyptic number.

376981056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

376981056 is the 19416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 376981056

376981056 is an abundant number, since it is smaller than the sum of its proper divisors (704904385).

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

376981056 is an frugal number, since it uses more digits than its factorization.

376981056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The cubic root of 376981056 is about 722.3924120717.

The spelling of 376981056 in words is "three hundred seventy-six million, nine hundred eighty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 809 1618 2427 3236 4854 6472 7281 9708 12944 14562 19416 25888 29124 38832 51776 58248 77664 116496 155328 232992 465984 654481 1308962 1963443 2617924 3926886 5235848 5890329 7853772 10471696 11780658 15707544 20943392 23561316 31415088 41886784 47122632 62830176 94245264 125660352 188490528 376981056