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52747520 = 28572292
BaseRepresentation
bin1100100100110…
…1110100000000
310200020211222212
43021031310000
5102000410040
65122321252
71210226600
oct311156400
9120224885
1052747520
1127857aa1
12157b9228
13ac0ab67
147010c00
15496dd65
hex324dd00

52747520 has 162 divisors, whose sum is σ = 152217702. Its totient is φ = 17461248.

The previous prime is 52747517. The next prime is 52747529. The reversal of 52747520 is 2574725.

It can be written as a sum of positive squares in 3 ways, for example, as 6071296 + 46676224 = 2464^2 + 6832^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52747529) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1818866 + ... + 1818894.

Almost surely, 252747520 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 52747520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76108851).

52747520 is an abundant number, since it is smaller than the sum of its proper divisors (99470182).

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

52747520 is an equidigital number, since it uses as much as digits as its factorization.

52747520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 32.

The square root of 52747520 is about 7262.7487909193. The cubic root of 52747520 is about 375.0311559299.

The spelling of 52747520 in words is "fifty-two million, seven hundred forty-seven thousand, five hundred twenty".