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31442928 = 243111731113
BaseRepresentation
bin111011111110…
…0011111110000
32012011110120220
41313330133300
531022133203
63041533040
7531155226
oct167743760
965143526
1031442928
11168265a0
12a644180
13668b9aa
144266b16
152b61653
hex1dfc7f0

31442928 has 160 divisors (see below), whose sum is σ = 97708032. Its totient is φ = 8601600.

The previous prime is 31442921. The next prime is 31442951. The reversal of 31442928 is 82924413.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31442921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278200 + ... + 278312.

Almost surely, 231442928 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 31442928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48854016).

31442928 is an abundant number, since it is smaller than the sum of its proper divisors (66265104).

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

31442928 is a wasteful number, since it uses less digits than its factorization.

31442928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 177 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 31442928 is about 5607.3993972251. The cubic root of 31442928 is about 315.6271305676.

The spelling of 31442928 in words is "thirty-one million, four hundred forty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 31 33 34 44 48 51 62 66 68 88 93 102 113 124 132 136 176 186 187 204 226 248 264 272 339 341 372 374 408 452 496 527 528 561 678 682 744 748 816 904 1023 1054 1122 1243 1356 1364 1488 1496 1581 1808 1921 2046 2108 2244 2486 2712 2728 2992 3162 3503 3729 3842 4092 4216 4488 4972 5424 5456 5763 5797 6324 7006 7458 7684 8184 8432 8976 9944 10509 11526 11594 12648 14012 14916 15368 16368 17391 19888 21018 21131 23052 23188 25296 28024 29832 30736 34782 38533 42036 42262 46104 46376 56048 59551 59664 63393 69564 77066 84072 84524 92208 92752 115599 119102 126786 139128 154132 168144 169048 178653 231198 238204 253572 278256 308264 338096 357306 462396 476408 507144 616528 655061 714612 924792 952816 1014288 1310122 1429224 1849584 1965183 2620244 2858448 3930366 5240488 7860732 10480976 15721464 31442928