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31395996 = 22324189239
BaseRepresentation
bin111011111000…
…1000010011100
32012002002012200
41313301002130
531014132441
63040531500
7530601342
oct167610234
965062180
1031395996
11167a4305
12a620b90
136673518
144253992
152b527b6
hex1df109c

31395996 has 72 divisors (see below), whose sum is σ = 82555200. Its totient is φ = 10053120.

The previous prime is 31395983. The next prime is 31396003. The reversal of 31395996 is 69959313.

It is a congruent number.

It is an unprimeable number.

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, 131245 + ... + 131483.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 231395996 is an apocalyptic number.

31395996 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31395996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41277600).

31395996 is an abundant number, since it is smaller than the sum of its proper divisors (51159204).

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

31395996 is a wasteful number, since it uses less digits than its factorization.

31395996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 374 counting only the distinct ones).

The product of its digits is 196830, while the sum is 45.

The square root of 31395996 is about 5603.2130068381. The cubic root of 31395996 is about 315.4700163974.

The spelling of 31395996 in words is "thirty-one million, three hundred ninety-five thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 89 123 164 178 239 246 267 356 369 478 492 534 717 738 801 956 1068 1434 1476 1602 2151 2868 3204 3649 4302 7298 8604 9799 10947 14596 19598 21271 21894 29397 32841 39196 42542 43788 58794 63813 65682 85084 88191 117588 127626 131364 176382 191439 255252 352764 382878 765756 872111 1744222 2616333 3488444 5232666 7848999 10465332 15697998 31395996