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52764640 = 255329779
BaseRepresentation
bin1100100101000…
…1111111100000
310200021201110221
43021101333200
5102001432030
65122532424
71210330525
oct311217740
9120251427
1052764640
1127869945
1215807114
13ac158a6
14701714c
154973e7a
hex3251fe0

52764640 has 24 divisors (see below), whose sum is σ = 124656840. Its totient is φ = 21105792.

The previous prime is 52764637. The next prime is 52764643. The reversal of 52764640 is 4646725.

52764640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52764637) and next prime (52764643).

It is a junction number, because it is equal to n+sod(n) for n = 52764596 and 52764605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52764643) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 164730 + ... + 165049.

It is an arithmetic number, because the mean of its divisors is an integer number (5194035).

Almost surely, 252764640 is an apocalyptic number.

It is an amenable number.

52764640 is an abundant number, since it is smaller than the sum of its proper divisors (71892200).

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

52764640 is a wasteful number, since it uses less digits than its factorization.

52764640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329794 (or 329786 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 52764640 is about 7263.9273124117. The cubic root of 52764640 is about 375.0717255396.

The spelling of 52764640 in words is "fifty-two million, seven hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 329779 659558 1319116 1648895 2638232 3297790 5276464 6595580 10552928 13191160 26382320 52764640