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422361504 = 25321466533
BaseRepresentation
bin11001001011001…
…011100110100000
31002102202012001200
4121023023212200
51331111032004
6105524401200
713316004435
oct3113134640
91072665050
10422361504
111a74594a4
12b9546200
1369670866
1440145b8c
152712e239
hex192cb9a0

422361504 has 36 divisors (see below), whose sum is σ = 1201091346. Its totient is φ = 140787072.

The previous prime is 422361503. The next prime is 422361521. The reversal of 422361504 is 405163224.

422361504 is a `hidden beast` number, since 42 + 2 + 3 + 615 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 272250000 + 150111504 = 16500^2 + 12252^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4223615042 = 356778480122284032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (422361503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 732979 + ... + 733554.

Almost surely, 2422361504 is an apocalyptic number.

It is an amenable number.

422361504 is an abundant number, since it is smaller than the sum of its proper divisors (778729842).

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

422361504 is a wasteful number, since it uses less digits than its factorization.

422361504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466549 (or 1466538 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 422361504 is about 20551.4355702953. The cubic root of 422361504 is about 750.2881879161.

The spelling of 422361504 in words is "four hundred twenty-two million, three hundred sixty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1466533 2933066 4399599 5866132 8799198 11732264 13198797 17598396 23464528 26397594 35196792 46929056 52795188 70393584 105590376 140787168 211180752 422361504