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402043968 = 2632697993
BaseRepresentation
bin10111111101101…
…011010001000000
31001000111221122100
4113331223101000
51310410401333
6103521110400
712651213564
oct2775532100
91030457570
10402043968
11196a41647
12b2788400
13653a8a51
143b5776a4
1525469213
hex17f6b440

402043968 has 42 divisors (see below), whose sum is σ = 1152388094. Its totient is φ = 134014464.

The previous prime is 402043963. The next prime is 402043973. The reversal of 402043968 is 869340204.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (402043963) and next prime (402043973).

It can be written as a sum of positive squares in only one way, i.e., 212926464 + 189117504 = 14592^2 + 13752^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (402043963) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 348421 + ... + 349572.

Almost surely, 2402043968 is an apocalyptic number.

402043968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

402043968 is an abundant number, since it is smaller than the sum of its proper divisors (750344126).

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

402043968 is a wasteful number, since it uses less digits than its factorization.

402043968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698011 (or 697998 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 402043968 is about 20051.0340880464. The cubic root of 402043968 is about 738.0591751964.

The spelling of 402043968 in words is "four hundred two million, forty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 697993 1395986 2093979 2791972 4187958 5583944 6281937 8375916 11167888 12563874 16751832 22335776 25127748 33503664 44671552 50255496 67007328 100510992 134014656 201021984 402043968