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31328892 = 223271771103
BaseRepresentation
bin111011110000…
…0101001111100
32011221200011100
41313200221330
531010011032
63035253100
7530201610
oct167405174
964850140
1031328892
1116758951
12a5aa190
13664bb0a
144237340
152b3c97c
hex1de0a7c

31328892 has 144 divisors (see below), whose sum is σ = 98122752. Its totient is φ = 8225280.

The previous prime is 31328881. The next prime is 31328933. The reversal of 31328892 is 29882313.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 304113 + ... + 304215.

It is an arithmetic number, because the mean of its divisors is an integer number (681408).

Almost surely, 231328892 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 31328892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49061376).

31328892 is an abundant number, since it is smaller than the sum of its proper divisors (66793860).

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

31328892 is a wasteful number, since it uses less digits than its factorization.

31328892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 203 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 31328892 is about 5597.2218108630. The cubic root of 31328892 is about 315.2451002443.

The spelling of 31328892 in words is "thirty-one million, three hundred twenty-eight thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 71 84 102 103 119 126 142 153 204 206 213 238 252 284 306 309 357 412 426 476 497 612 618 639 714 721 852 927 994 1071 1207 1236 1278 1428 1442 1491 1751 1854 1988 2142 2163 2414 2556 2884 2982 3502 3621 3708 4284 4326 4473 4828 5253 5964 6489 7004 7242 7313 8449 8652 8946 10506 10863 12257 12978 14484 14626 15759 16898 17892 21012 21726 21939 24514 25347 25956 29252 31518 33796 36771 43452 43878 49028 50694 51191 63036 65817 73542 76041 87756 101388 102382 110313 124321 131634 147084 152082 153573 204764 220626 248642 263268 304164 307146 372963 441252 460719 497284 614292 745926 870247 921438 1118889 1491852 1740494 1842876 2237778 2610741 3480988 4475556 5221482 7832223 10442964 15664446 31328892