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52615680 = 2935131731
BaseRepresentation
bin1100100010110…
…1101000000000
310200000011010220
43020231220000
5101432200210
65115423040
71206140325
oct310555000
9120004126
1052615680
1127777a37
1215754a80
13ab92b50
146db8b4c
154944c70
hex322da00

52615680 has 320 divisors, whose sum is σ = 197987328. Its totient is φ = 11796480.

The previous prime is 52615639. The next prime is 52615687. The reversal of 52615680 is 8651625.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52615687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1697265 + ... + 1697295.

Almost surely, 252615680 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 52615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98993664).

52615680 is an abundant number, since it is smaller than the sum of its proper divisors (145371648).

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

52615680 is a wasteful number, since it uses less digits than its factorization.

52615680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 52615680 is about 7253.6666590077. Note that the first 4 decimals coincide. The cubic root of 52615680 is about 374.7184375353.

The spelling of 52615680 in words is "fifty-two million, six hundred fifteen thousand, six hundred eighty".