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52657920 = 283257653
BaseRepresentation
bin1100100011011…
…1111100000000
310200002022002100
43020313330000
5101440023140
65120350400
71206404430
oct310677400
9120068070
1052657920
11277a6747
1215775400
13aba9143
146dca2c0
154952530
hex3237f00

52657920 has 216 divisors, whose sum is σ = 208537056. Its totient is φ = 12017664.

The previous prime is 52657909. The next prime is 52657921. The reversal of 52657920 is 2975625.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52657921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80314 + ... + 80966.

Almost surely, 252657920 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 52657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104268528).

52657920 is an abundant number, since it is smaller than the sum of its proper divisors (155879136).

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

52657920 is a wasteful number, since it uses less digits than its factorization.

52657920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 52657920 is about 7256.5777057784. The cubic root of 52657920 is about 374.8186856811.

The spelling of 52657920 in words is "fifty-two million, six hundred fifty-seven thousand, nine hundred twenty".