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39916272 = 24311174447
BaseRepresentation
bin1001100001000…
…1001011110000
32210002221211110
42120101023300
540204310042
63543313320
7663165654
oct230211360
983087743
1039916272
1120593760
121144b840
1383676c6
145430a64
15378709c
hex26112f0

39916272 has 80 divisors (see below), whose sum is σ = 119135232. Its totient is φ = 11381760.

The previous prime is 39916259. The next prime is 39916297. The reversal of 39916272 is 27261993.

It is a self number, because there is not a number n which added to its sum of digits gives 39916272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6753 + ... + 11199.

Almost surely, 239916272 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 39916272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59567616).

39916272 is an abundant number, since it is smaller than the sum of its proper divisors (79218960).

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

39916272 is a wasteful number, since it uses less digits than its factorization.

39916272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4486 (or 4480 counting only the distinct ones).

The product of its digits is 40824, while the sum is 39.

The square root of 39916272 is about 6317.9325732394. The cubic root of 39916272 is about 341.7564012039.

The spelling of 39916272 in words is "thirty-nine million, nine hundred sixteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 374 408 528 561 748 816 1122 1496 2244 2992 4447 4488 8894 8976 13341 17788 26682 35576 48917 53364 71152 75599 97834 106728 146751 151198 195668 213456 226797 293502 302396 391336 453594 587004 604792 782672 831589 907188 1174008 1209584 1663178 1814376 2348016 2494767 3326356 3628752 4989534 6652712 9979068 13305424 19958136 39916272