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52704960 = 26357112331
BaseRepresentation
bin1100100100001…
…1011011000000
310200011200121120
43021003123000
5101443024320
65121352240
71206661530
oct311033300
9120150546
1052704960
1127829020
1215798680
13abc4689
146ddd4c0
154961440
hex32436c0

52704960 has 448 divisors, whose sum is σ = 224722944. Its totient is φ = 10137600.

The previous prime is 52704941. The next prime is 52704961. The reversal of 52704960 is 6940725.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52704961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1700145 + ... + 1700175.

Almost surely, 252704960 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 52704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112361472).

52704960 is an abundant number, since it is smaller than the sum of its proper divisors (172017984).

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

52704960 is a wasteful number, since it uses less digits than its factorization.

52704960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 52704960 is about 7259.8181795414. The cubic root of 52704960 is about 374.9302625875.

The spelling of 52704960 in words is "fifty-two million, seven hundred four thousand, nine hundred sixty".