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31493028 = 2237438719
BaseRepresentation
bin111100000100…
…0101110100100
32012021000022110
41320020232210
531030234103
63043001020
7531454260
oct170105644
965230273
1031493028
11168601a6
12a669170
1366a8738
14427b0a0
152b71403
hex1e08ba4

31493028 has 48 divisors (see below), whose sum is σ = 85944320. Its totient is φ = 8787744.

The previous prime is 31493017. The next prime is 31493029. The reversal of 31493028 is 82039413.

It is a junction number, because it is equal to n+sod(n) for n = 31492986 and 31493004.

It is not an unprimeable number, because it can be changed into a prime (31493029) 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 15 ways as a sum of consecutive naturals, for example, 748 + ... + 7971.

Almost surely, 231493028 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 31493028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42972160).

31493028 is an abundant number, since it is smaller than the sum of its proper divisors (54451292).

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

31493028 is a wasteful number, since it uses less digits than its factorization.

31493028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8776 (or 8774 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 31493028 is about 5611.8649306625. The cubic root of 31493028 is about 315.7946778148.

The spelling of 31493028 in words is "thirty-one million, four hundred ninety-three thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 516 602 903 1204 1806 3612 8719 17438 26157 34876 52314 61033 104628 122066 183099 244132 366198 374917 732396 749834 1124751 1499668 2249502 2624419 4499004 5248838 7873257 10497676 15746514 31493028