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31970052 = 2235311061
BaseRepresentation
bin111100111110…
…1001100000100
32020011020200000
41321331030010
531141020202
63101121300
7535512102
oct171751404
966136600
1031970052
1117056634
12a859230
1368148ba
144362c72
152c1791c
hex1e7d304

31970052 has 72 divisors (see below), whose sum is σ = 86591232. Its totient is φ = 10303200.

The previous prime is 31970051. The next prime is 31970063. The reversal of 31970052 is 25007913.

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

It is a junction number, because it is equal to n+sod(n) for n = 31969998 and 31970025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31970051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29602 + ... + 30662.

It is an arithmetic number, because the mean of its divisors is an integer number (1202656).

Almost surely, 231970052 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 31970052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43295616).

31970052 is an abundant number, since it is smaller than the sum of its proper divisors (54621180).

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

31970052 is a wasteful number, since it uses less digits than its factorization.

31970052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 31970052 is about 5654.2065756391. The cubic root of 31970052 is about 317.3811388837.

Adding to 31970052 its reverse (25007913), we get a palindrome (56977965).

The spelling of 31970052 in words is "thirty-one million, nine hundred seventy thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 243 279 324 372 486 558 837 972 1061 1116 1674 2122 2511 3183 3348 4244 5022 6366 7533 9549 10044 12732 15066 19098 28647 30132 32891 38196 57294 65782 85941 98673 114588 131564 171882 197346 257823 296019 343764 394692 515646 592038 888057 1031292 1184076 1776114 2664171 3552228 5328342 7992513 10656684 15985026 31970052