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31102944 = 253536113
BaseRepresentation
bin111011010100…
…1011111100000
32011112012012220
41312221133200
530430243234
63030351040
7525241065
oct166513740
964465186
1031102944
1116614114
12a4bb480
1365a0012
1441b8c6c
152ae5a49
hex1da97e0

31102944 has 48 divisors (see below), whose sum is σ = 83199312. Its totient is φ = 10170368.

The previous prime is 31102927. The next prime is 31102949. The reversal of 31102944 is 44920113.

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

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31102949) 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, 2032 + ... + 8144.

It is an arithmetic number, because the mean of its divisors is an integer number (1733319).

Almost surely, 231102944 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 31102944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41599656).

31102944 is an abundant number, since it is smaller than the sum of its proper divisors (52096368).

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

31102944 is a wasteful number, since it uses less digits than its factorization.

31102944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6179 (or 6171 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 31102944 is about 5577.0013448089. The cubic root of 31102944 is about 314.4854082333.

The spelling of 31102944 in words is "thirty-one million, one hundred two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 5088 6113 12226 18339 24452 36678 48904 73356 97808 146712 195616 293424 323989 586848 647978 971967 1295956 1943934 2591912 3887868 5183824 7775736 10367648 15551472 31102944