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872951328 = 253217412
BaseRepresentation
bin110100000010000…
…010111000100000
32020211121112002200
4310002002320200
53241433420303
6222342213200
730426651414
oct6402027040
92224545080
10872951328
11408838287
12204424200
1310bb15b62
1483d18d44
15519873a3
hex34082e20

872951328 has 54 divisors (see below), whose sum is σ = 2483882037. Its totient is φ = 290816640.

The previous prime is 872951327. The next prime is 872951347. The reversal of 872951328 is 823159278.

It is a happy number.

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 466041744 + 406909584 = 21588^2 + 20172^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=20892.

It is not an unprimeable number, because it can be changed into a prime (872951327) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 500538 + ... + 502278.

Almost surely, 2872951328 is an apocalyptic number.

It is an amenable number.

872951328 is an abundant number, since it is smaller than the sum of its proper divisors (1610930709).

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

872951328 is an equidigital number, since it uses as much as digits as its factorization.

872951328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3498 (or 1746 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 872951328 is about 29545.7497450987. The cubic root of 872951328 is about 955.7185378468.

The spelling of 872951328 in words is "eight hundred seventy-two million, nine hundred fifty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1741 3482 5223 6964 10446 13928 15669 20892 27856 31338 41784 55712 62676 83568 125352 167136 250704 501408 3031081 6062162 9093243 12124324 18186486 24248648 27279729 36372972 48497296 54559458 72745944 96994592 109118916 145491888 218237832 290983776 436475664 872951328