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467561345 = 52913212441
BaseRepresentation
bin11011110111100…
…110101110000001
31012120210120120212
4123313212232001
51424143430340
6114221243505
714405130416
oct3367465601
91176716525
10467561345
1121aa20839
12110703595
1375b38124
144615010d
152b0aba65
hex1bde6b81

467561345 has 16 divisors (see below), whose sum is σ = 581098320. Its totient is φ = 360729600.

The previous prime is 467561323. The next prime is 467561359. The reversal of 467561345 is 543165764.

It can be written as a sum of positive squares in 8 ways, for example, as 698896 + 466862449 = 836^2 + 21607^2 .

It is not a de Polignac number, because 467561345 - 218 = 467299201 is a prime.

It is a super-2 number, since 2×4675613452 = 437227222676418050, which contains 22 as substring.

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, 190325 + ... + 192765.

It is an arithmetic number, because the mean of its divisors is an integer number (36318645).

Almost surely, 2467561345 is an apocalyptic number.

It is an amenable number.

467561345 is a deficient number, since it is larger than the sum of its proper divisors (113536975).

467561345 is a wasteful number, since it uses less digits than its factorization.

467561345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3796.

The product of its digits is 302400, while the sum is 41.

The square root of 467561345 is about 21623.1668587189. The cubic root of 467561345 is about 776.1509613706.

The spelling of 467561345 in words is "four hundred sixty-seven million, five hundred sixty-one thousand, three hundred forty-five".

Divisors: 1 5 29 145 1321 2441 6605 12205 38309 70789 191545 353945 3224561 16122805 93512269 467561345