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52636864 = 267293401
BaseRepresentation
bin1100100011001…
…0110011000000
310200001020012111
43020302303000
5101433334424
65120105104
71206256150
oct310626300
9120036174
1052636864
1127791945
1215765194
13ab9c697
146dc2760
15494b194
hex3232cc0

52636864 has 56 divisors (see below), whose sum is σ = 120079008. Its totient is φ = 22425600.

The previous prime is 52636861. The next prime is 52636873. The reversal of 52636864 is 46863625.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (52636861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131064 + ... + 131464.

It is an arithmetic number, because the mean of its divisors is an integer number (2144268).

Almost surely, 252636864 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 52636864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60039504).

52636864 is an abundant number, since it is smaller than the sum of its proper divisors (67442144).

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

52636864 is a wasteful number, since it uses less digits than its factorization.

52636864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 703 counting only the distinct ones).

The product of its digits is 207360, while the sum is 40.

The square root of 52636864 is about 7255.1267390722. The cubic root of 52636864 is about 374.7687202032.

The spelling of 52636864 in words is "fifty-two million, six hundred thirty-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 293 401 448 586 802 1172 1604 2051 2344 2807 3208 4102 4688 5614 6416 8204 9376 11228 12832 16408 18752 22456 25664 32816 44912 65632 89824 117493 131264 179648 234986 469972 822451 939944 1644902 1879888 3289804 3759776 6579608 7519552 13159216 26318432 52636864