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39628056 = 23313157809
BaseRepresentation
bin1001011100101…
…0110100011000
32202120022110210
42113022310120
540121044211
63533211120
7660555456
oct227126430
982508423
1039628056
1120407166
1211330aa0
138296470
1453979d6
15372b9a6
hex25cad18

39628056 has 64 divisors (see below), whose sum is σ = 107503200. Its totient is φ = 12100608.

The previous prime is 39628049. The next prime is 39628079. The reversal of 39628056 is 65082693.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 48580 + ... + 49388.

Almost surely, 239628056 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 39628056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53751600).

39628056 is an abundant number, since it is smaller than the sum of its proper divisors (67875144).

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

39628056 is a wasteful number, since it uses less digits than its factorization.

39628056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 39628056 is about 6295.0818898566. The cubic root of 39628056 is about 340.9318611829.

The spelling of 39628056 in words is "thirty-nine million, six hundred twenty-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 157 312 314 471 628 809 942 1256 1618 1884 2041 2427 3236 3768 4082 4854 6123 6472 8164 9708 10517 12246 16328 19416 21034 24492 31551 42068 48984 63102 84136 126204 127013 252408 254026 381039 508052 762078 1016104 1524156 1651169 3048312 3302338 4953507 6604676 9907014 13209352 19814028 39628056