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57640528 = 24112191567
BaseRepresentation
bin1101101111100…
…0011001010000
311000110102221101
43123320121100
5104223444103
65415234144
71266636121
oct333703120
9130412841
1057640528
112a59a200
1217378954
13bc3202a
147926048
1550d8a1d
hex36f8650

57640528 has 60 divisors (see below), whose sum is σ = 129297280. Its totient is φ = 24805440.

The previous prime is 57640519. The next prime is 57640529. The reversal of 57640528 is 82504675.

It is a happy number.

57640528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57640529) 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 11 ways as a sum of consecutive naturals, for example, 36001 + ... + 37567.

Almost surely, 257640528 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 57640528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64648640).

57640528 is an abundant number, since it is smaller than the sum of its proper divisors (71656752).

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

57640528 is a wasteful number, since it uses less digits than its factorization.

57640528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The square root of 57640528 is about 7592.1359313437. The cubic root of 57640528 is about 386.2863098147.

The spelling of 57640528 in words is "fifty-seven million, six hundred forty thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 121 152 176 209 242 304 418 484 836 968 1567 1672 1936 2299 3134 3344 4598 6268 9196 12536 17237 18392 25072 29773 34474 36784 59546 68948 119092 137896 189607 238184 275792 327503 379214 476368 655006 758428 1310012 1516856 2620024 3033712 3602533 5240048 7205066 14410132 28820264 57640528