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400977681 = 3132790883
BaseRepresentation
bin10111111001100…
…110111100010001
31000221111202222020
4113321212330101
51310122241211
6103442202053
712636153066
oct2771467421
91027452866
10400977681
11196383515
12b2353329
13650c4600
143b37ac6d
1525308306
hex17e66f11

400977681 has 12 divisors (see below), whose sum is σ = 578927088. Its totient is φ = 246755184.

The previous prime is 400977679. The next prime is 400977719. The reversal of 400977681 is 186779004.

It is not a de Polignac number, because 400977681 - 21 = 400977679 is a prime.

It is a super-2 number, since 2×4009776812 = 321566201320275522, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (400977641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 394935 + ... + 395948.

It is an arithmetic number, because the mean of its divisors is an integer number (48243924).

Almost surely, 2400977681 is an apocalyptic number.

It is an amenable number.

400977681 is a deficient number, since it is larger than the sum of its proper divisors (177949407).

400977681 is a wasteful number, since it uses less digits than its factorization.

400977681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790912 (or 790899 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 400977681 is about 20024.4271079100. The cubic root of 400977681 is about 737.4061125718.

The spelling of 400977681 in words is "four hundred million, nine hundred seventy-seven thousand, six hundred eighty-one".

Divisors: 1 3 13 39 169 507 790883 2372649 10281479 30844437 133659227 400977681