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465164430 = 23552129761
BaseRepresentation
bin11011101110011…
…101100010001110
31012102021210122020
4123232131202032
51423040230210
6114054031010
714345555343
oct3356354216
91172253566
10465164430
11219633a15
1210b948466
13754a9133
1445ac87ca
152ac86770
hex1bb9d88e

465164430 has 32 divisors (see below), whose sum is σ = 1118575008. Its totient is φ = 123801600.

The previous prime is 465164429. The next prime is 465164471. The reversal of 465164430 is 34461564.

It is a junction number, because it is equal to n+sod(n) for n = 465164391 and 465164400.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 750 + ... + 30510.

It is an arithmetic number, because the mean of its divisors is an integer number (34955469).

Almost surely, 2465164430 is an apocalyptic number.

465164430 is an abundant number, since it is smaller than the sum of its proper divisors (653410578).

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

465164430 is a wasteful number, since it uses less digits than its factorization.

465164430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30292.

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 465164430 is about 21567.6709451902. The cubic root of 465164430 is about 774.8223970412.

The spelling of 465164430 in words is "four hundred sixty-five million, one hundred sixty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 521 1042 1563 2605 3126 5210 7815 15630 29761 59522 89283 148805 178566 297610 446415 892830 15505481 31010962 46516443 77527405 93032886 155054810 232582215 465164430