Search a number
-
+
31187052 = 22331397229
BaseRepresentation
bin111011011111…
…0000001101100
32011200110121000
41312332001230
530440441202
63032240300
7526041231
oct166760154
964613530
1031187052
1116671326
12a540090
1365cc3a0
1441db788
152b1091c
hex1dbe06c

31187052 has 96 divisors (see below), whose sum is σ = 88356800. Its totient is φ = 9455616.

The previous prime is 31187047. The next prime is 31187059. The reversal of 31187052 is 25078113.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (31187059) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136074 + ... + 136302.

Almost surely, 231187052 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 31187052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44178400).

31187052 is an abundant number, since it is smaller than the sum of its proper divisors (57169748).

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

31187052 is a wasteful number, since it uses less digits than its factorization.

31187052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 31187052 is about 5584.5368653094. The cubic root of 31187052 is about 314.7686282819.

The spelling of 31187052 in words is "thirty-one million, one hundred eighty-seven thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 97 108 117 156 194 229 234 291 351 388 458 468 582 687 702 873 916 1164 1261 1374 1404 1746 2061 2522 2619 2748 2977 3492 3783 4122 5044 5238 5954 6183 7566 8244 8931 10476 11349 11908 12366 15132 17862 22213 22698 24732 26793 34047 35724 44426 45396 53586 66639 68094 80379 88852 107172 133278 136188 160758 199917 266556 288769 321516 399834 577538 599751 799668 866307 1155076 1199502 1732614 2399004 2598921 3465228 5197842 7796763 10395684 15593526 31187052