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467812872 = 233225492
BaseRepresentation
bin11011111000100…
…100001000001000
31012121021100121200
4123320210020020
51424230002442
6114230504200
714410225632
oct3370441010
91177240550
10467812872
1122008280a
12110805060
1375bc5767
14461b7a52
152b10b34c
hex1be24208

467812872 has 36 divisors (see below), whose sum is σ = 1267490445. Its totient is φ = 155876448.

The previous prime is 467812859. The next prime is 467812901. The reversal of 467812872 is 278218764.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 357436836 + 110376036 = 18906^2 + 10506^2 .

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

It is an ABA number since it can be written as A⋅BA, here for A=2, B=15294.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 182254 + ... + 184802.

Almost surely, 2467812872 is an apocalyptic number.

It is an amenable number.

467812872 is an abundant number, since it is smaller than the sum of its proper divisors (799677573).

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

467812872 is an equidigital number, since it uses as much as digits as its factorization.

467812872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5110 (or 2554 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 467812872 is about 21628.9822229341. The cubic root of 467812872 is about 776.2901145380.

The spelling of 467812872 in words is "four hundred sixty-seven million, eight hundred twelve thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2549 5098 7647 10196 15294 20392 22941 30588 45882 61176 91764 183528 6497401 12994802 19492203 25989604 38984406 51979208 58476609 77968812 116953218 155937624 233906436 467812872