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401944968 = 23325582569
BaseRepresentation
bin10111111101010…
…011000110001000
31001000022220211200
4113331103012020
51310344214333
6103515024200
712650322135
oct2775230610
91030286750
10401944968
11196984227
12b273b060
1365372979
143b54d58c
1525449c13
hex17f53188

401944968 has 24 divisors (see below), whose sum is σ = 1088601150. Its totient is φ = 133981632.

The previous prime is 401944909. The next prime is 401944973. The reversal of 401944968 is 869449104.

It can be written as a sum of positive squares in only one way, i.e., 386594244 + 15350724 = 19662^2 + 3918^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2791213 + ... + 2791356.

Almost surely, 2401944968 is an apocalyptic number.

It is an amenable number.

401944968 is an abundant number, since it is smaller than the sum of its proper divisors (686656182).

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

401944968 is a wasteful number, since it uses less digits than its factorization.

401944968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5582581 (or 5582574 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 401944968 is about 20048.5652354476. The cubic root of 401944968 is about 737.9985899019.

The spelling of 401944968 in words is "four hundred one million, nine hundred forty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5582569 11165138 16747707 22330276 33495414 44660552 50243121 66990828 100486242 133981656 200972484 401944968