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31117056 = 283311307
BaseRepresentation
bin111011010110…
…0111100000000
32011112220120120
41312230330000
530431221211
63030540240
7525330165
oct166547400
964486516
1031117056
1116623783
12a507680
1365a6579
1441c006c
152ae9d06
hex1dacf00

31117056 has 72 divisors (see below), whose sum is σ = 85553664. Its totient is φ = 10030080.

The previous prime is 31117049. The next prime is 31117057. The reversal of 31117056 is 65071113.

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 (31117057) 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, 23155 + ... + 24461.

Almost surely, 231117056 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 31117056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42776832).

31117056 is an abundant number, since it is smaller than the sum of its proper divisors (54436608).

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

31117056 is a wasteful number, since it uses less digits than its factorization.

31117056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 31117056 is about 5578.2663973676. The cubic root of 31117056 is about 314.5329637213.

Adding to 31117056 its reverse (65071113), we get a palindrome (96188169).

The spelling of 31117056 in words is "thirty-one million, one hundred seventeen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1307 1488 1984 2614 2976 3921 3968 5228 5952 7842 7936 10456 11904 15684 20912 23808 31368 40517 41824 62736 81034 83648 121551 125472 162068 167296 243102 250944 324136 334592 486204 501888 648272 972408 1003776 1296544 1944816 2593088 3889632 5186176 7779264 10372352 15558528 31117056