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831238272 = 2732721561
BaseRepresentation
bin110001100010111…
…011000010000000
32010221010021112200
4301202323002000
53200244111042
6214252153200
726412260124
oct6142730200
92127107480
10831238272
11397237687
121b2468800
1310329c687
147c57b584
154ce97c4c
hex318bb080

831238272 has 48 divisors (see below), whose sum is σ = 2391978030. Its totient is φ = 277079040.

The previous prime is 831238271. The next prime is 831238279. The reversal of 831238272 is 272832138.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 565678656 + 265559616 = 23784^2 + 16296^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (831238271) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 359629 + ... + 361932.

Almost surely, 2831238272 is an apocalyptic number.

It is an amenable number.

831238272 is an abundant number, since it is smaller than the sum of its proper divisors (1560739758).

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

831238272 is a wasteful number, since it uses less digits than its factorization.

831238272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721581 (or 721566 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 831238272 is about 28831.2030966451. The cubic root of 831238272 is about 940.2467558019.

The spelling of 831238272 in words is "eight hundred thirty-one million, two hundred thirty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 721561 1443122 2164683 2886244 4329366 5772488 6494049 8658732 11544976 12988098 17317464 23089952 25976196 34634928 46179904 51952392 69269856 92359808 103904784 138539712 207809568 277079424 415619136 831238272