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39145056 = 2531732357
BaseRepresentation
bin1001010101010…
…0111001100000
32201122202220220
42111110321200
540010120211
63515003040
7653504346
oct225247140
981582826
1039145056
1120107295
1211139480
138157672
1452ad996
153683806
hex2554e60

39145056 has 48 divisors (see below), whose sum is σ = 103393584. Its totient is φ = 12967424.

The previous prime is 39145039. The next prime is 39145063. The reversal of 39145056 is 65054193.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15430 + ... + 17786.

It is an arithmetic number, because the mean of its divisors is an integer number (2154033).

Almost surely, 239145056 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 39145056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51696792).

39145056 is an abundant number, since it is smaller than the sum of its proper divisors (64248528).

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

39145056 is a wasteful number, since it uses less digits than its factorization.

39145056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543 (or 2535 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 39145056 is about 6256.6009941501. The cubic root of 39145056 is about 339.5410647713.

The spelling of 39145056 in words is "thirty-nine million, one hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 173 346 519 692 1038 1384 2076 2357 2768 4152 4714 5536 7071 8304 9428 14142 16608 18856 28284 37712 56568 75424 113136 226272 407761 815522 1223283 1631044 2446566 3262088 4893132 6524176 9786264 13048352 19572528 39145056