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831214272 = 2637618463
BaseRepresentation
bin110001100010110…
…101001011000000
32010221002001121210
4301202311023000
53200242324042
6214251450120
726412130140
oct6142651300
92127061553
10831214272
11397220649
121b2456940
13103291785
147c572920
154ce90a9c
hex318b52c0

831214272 has 56 divisors (see below), whose sum is σ = 2513437696. Its totient is φ = 237489408.

The previous prime is 831214247. The next prime is 831214283. The reversal of 831214272 is 272412138.

It is a tau number, because it is divible by the number of its divisors (56).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 307888 + ... + 310575.

It is an arithmetic number, because the mean of its divisors is an integer number (44882816).

Almost surely, 2831214272 is an apocalyptic number.

It is an amenable number.

831214272 is an abundant number, since it is smaller than the sum of its proper divisors (1682223424).

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

831214272 is a wasteful number, since it uses less digits than its factorization.

831214272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618485 (or 618475 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 831214272 is about 28830.7868779192. The cubic root of 831214272 is about 940.2377065958.

The spelling of 831214272 in words is "eight hundred thirty-one million, two hundred fourteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 618463 1236926 1855389 2473852 3710778 4329241 4947704 7421556 8658482 9895408 12987723 14843112 17316964 19790816 25975446 29686224 34633928 39581632 51950892 59372448 69267856 103901784 118744896 138535712 207803568 277071424 415607136 831214272