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31889052 = 22341367113
BaseRepresentation
bin111100110100…
…1011010011100
32020000010120000
41321221122130
531130422202
63055254300
7535023666
oct171513234
966003500
1031889052
1117000798
12a81a390
1367b6a80
144341536
152bed91c
hex1e6969c

31889052 has 120 divisors (see below), whose sum is σ = 91923216. Its totient is φ = 9580032.

The previous prime is 31888999. The next prime is 31889057. The reversal of 31889052 is 25098813.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 31888998 and 31889016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31889057) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 282148 + ... + 282260.

Almost surely, 231889052 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 31889052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45961608).

31889052 is an abundant number, since it is smaller than the sum of its proper divisors (60034164).

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

31889052 is a wasteful number, since it uses less digits than its factorization.

31889052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 31889052 is about 5647.0392242307. The cubic root of 31889052 is about 317.1128710040.

The spelling of 31889052 in words is "thirty-one million, eight hundred eighty-nine thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 67 78 81 108 113 117 134 156 162 201 226 234 268 324 339 351 402 452 468 603 678 702 804 871 1017 1053 1206 1356 1404 1469 1742 1809 2034 2106 2412 2613 2938 3051 3484 3618 4068 4212 4407 5226 5427 5876 6102 7236 7571 7839 8814 9153 10452 10854 12204 13221 15142 15678 17628 18306 21708 22713 23517 26442 30284 31356 36612 39663 45426 47034 52884 68139 70551 79326 90852 94068 98423 118989 136278 141102 158652 196846 204417 237978 272556 282204 295269 393692 408834 475956 590538 613251 817668 885807 1181076 1226502 1771614 2453004 2657421 3543228 5314842 7972263 10629684 15944526 31889052