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831244288 = 2117232521
BaseRepresentation
bin110001100010111…
…100100000000000
32010221010120210111
4301202330200000
53200244304123
6214252241104
726412313510
oct6142744000
92127116714
10831244288
11397241156
121b2470194
131032a2334
147c57d840
154ce9990d
hex318bc800

831244288 has 96 divisors (see below), whose sum is σ = 1982897280. Its totient is φ = 340623360.

The previous prime is 831244283. The next prime is 831244307. The reversal of 831244288 is 882442138.

It is a self number, because there is not a number n which added to its sum of digits gives 831244288.

It is not an unprimeable number, because it can be changed into a prime (831244283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 328468 + ... + 330988.

It is an arithmetic number, because the mean of its divisors is an integer number (20655180).

Almost surely, 2831244288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 831244288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991448640).

831244288 is an abundant number, since it is smaller than the sum of its proper divisors (1151652992).

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

831244288 is a wasteful number, since it uses less digits than its factorization.

831244288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573 (or 2553 counting only the distinct ones).

The product of its digits is 98304, while the sum is 40.

The square root of 831244288 is about 28831.3074278639. The cubic root of 831244288 is about 940.2490241089.

The spelling of 831244288 in words is "eight hundred thirty-one million, two hundred forty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 256 322 368 448 512 644 736 896 1024 1288 1472 1792 2048 2521 2576 2944 3584 5042 5152 5888 7168 10084 10304 11776 14336 17647 20168 20608 23552 35294 40336 41216 47104 57983 70588 80672 82432 115966 141176 161344 164864 231932 282352 322688 329728 405881 463864 564704 645376 811762 927728 1129408 1290752 1623524 1855456 2258816 2581504 3247048 3710912 4517632 5163008 6494096 7421824 9035264 12988192 14843648 18070528 25976384 29687296 36141056 51952768 59374592 103905536 118749184 207811072 415622144 831244288