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31458112 = 267234371
BaseRepresentation
bin111100000000…
…0001101000000
32012012020102021
41320000031000
531023124422
63042131224
7531250420
oct170001500
965166367
1031458112
1116836a44
12a650b14
13669588a
14426c480
152b65dc7
hex1e00340

31458112 has 112 divisors (see below), whose sum is σ = 77248512. Its totient is φ = 12418560.

The previous prime is 31458083. The next prime is 31458113. The reversal of 31458112 is 21185413.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×314581122 = 1979225621209088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31458113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 443037 + ... + 443107.

Almost surely, 231458112 is an apocalyptic number.

31458112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31458112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38624256).

31458112 is an abundant number, since it is smaller than the sum of its proper divisors (45790400).

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

31458112 is a wasteful number, since it uses less digits than its factorization.

31458112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 146 counting only the distinct ones).

The product of its digits is 960, while the sum is 25.

The square root of 31458112 is about 5608.7531591255. The cubic root of 31458112 is about 315.6779285416.

The spelling of 31458112 in words is "thirty-one million, four hundred fifty-eight thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 32 43 46 56 64 71 86 92 112 142 161 172 184 224 284 301 322 344 368 448 497 568 602 644 688 736 989 994 1136 1204 1288 1376 1472 1633 1978 1988 2272 2408 2576 2752 3053 3266 3956 3976 4544 4816 5152 6106 6532 6923 7912 7952 9632 10304 11431 12212 13064 13846 15824 15904 19264 21371 22862 24424 26128 27692 31648 31808 42742 45724 48848 52256 55384 63296 70219 85484 91448 97696 104512 110768 140438 170968 182896 195392 221536 280876 341936 365792 443072 491533 561752 683872 731584 983066 1123504 1367744 1966132 2247008 3932264 4494016 7864528 15729056 31458112