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31082112 = 273226981
BaseRepresentation
bin111011010010…
…0011010000000
32011111010122100
41312210122000
530424111422
63030110400
7525123255
oct166443200
964433570
1031082112
11165aa4a6
12a4ab400
1365936a9
1441b142c
152ade7ac
hex1da4680

31082112 has 48 divisors (see below), whose sum is σ = 89445330. Its totient is φ = 10360320.

The previous prime is 31082101. The next prime is 31082153. The reversal of 31082112 is 21128013.

It can be written as a sum of positive squares in only one way, i.e., 30206016 + 876096 = 5496^2 + 936^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12339 + ... + 14642.

Almost surely, 231082112 is an apocalyptic number.

31082112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31082112 is an abundant number, since it is smaller than the sum of its proper divisors (58363218).

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

31082112 is a wasteful number, since it uses less digits than its factorization.

31082112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27001 (or 26986 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 31082112 is about 5575.1333616336. The cubic root of 31082112 is about 314.4151809774.

The spelling of 31082112 in words is "thirty-one million, eighty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 26981 53962 80943 107924 161886 215848 242829 323772 431696 485658 647544 863392 971316 1295088 1726784 1942632 2590176 3453568 3885264 5180352 7770528 10360704 15541056 31082112