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831961428 = 2232337257317
BaseRepresentation
bin110001100101101…
…011100101010100
32010222111000112020
4301211223211110
53200440231203
6214315453140
726421361344
oct6145534524
92128430466
10831961428
11397690a31
121b27571b0
1310349388c
147c6c8d24
154d08c153
hex3196b954

831961428 has 96 divisors (see below), whose sum is σ = 2095075584. Its totient is φ = 256278528.

The previous prime is 831961421. The next prime is 831961447. The reversal of 831961428 is 824169138.

831961428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 831961428.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (831961421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2624326 + ... + 2624642.

It is an arithmetic number, because the mean of its divisors is an integer number (21823704).

Almost surely, 2831961428 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 831961428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047537792).

831961428 is an abundant number, since it is smaller than the sum of its proper divisors (1263114156).

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

831961428 is a wasteful number, since it uses less digits than its factorization.

831961428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 639 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 831961428 is about 28843.7415742133. The cubic root of 831961428 is about 940.5193402993.

The spelling of 831961428 in words is "eight hundred thirty-one million, nine hundred sixty-one thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 23 37 46 69 74 92 111 138 148 222 257 276 317 444 514 634 771 851 951 1028 1268 1542 1702 1902 2553 3084 3404 3804 5106 5911 7291 9509 10212 11729 11822 14582 17733 19018 21873 23458 23644 28527 29164 35187 35466 38036 43746 46916 57054 70374 70932 81469 87492 114108 140748 162938 218707 244407 269767 325876 437414 488814 539534 656121 809301 874828 977628 1079068 1312242 1618602 1873787 2624484 3014353 3237204 3747574 5621361 6028706 7495148 9043059 11242722 12057412 18086118 22485444 36172236 69330119 138660238 207990357 277320476 415980714 831961428