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52727664 = 24311372699
BaseRepresentation
bin1100100100100…
…0111101110000
310200012211202110
43021020331300
5101444241124
65122045320
71210114653
oct311107560
9120184673
1052727664
1127844090
12157a9840
13ac01b02
14700789a
154968029
hex3248f70

52727664 has 80 divisors (see below), whose sum is σ = 152668800. Its totient is φ = 15540480.

The previous prime is 52727639. The next prime is 52727669. The reversal of 52727664 is 46672725.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52727669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18187 + ... + 20885.

It is an arithmetic number, because the mean of its divisors is an integer number (1908360).

Almost surely, 252727664 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 52727664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76334400).

52727664 is an abundant number, since it is smaller than the sum of its proper divisors (99941136).

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

52727664 is a wasteful number, since it uses less digits than its factorization.

52727664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2758 (or 2752 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

The square root of 52727664 is about 7261.3816867040. The cubic root of 52727664 is about 374.9840917696.

The spelling of 52727664 in words is "fifty-two million, seven hundred twenty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 264 296 407 444 528 592 814 888 1221 1628 1776 2442 2699 3256 4884 5398 6512 8097 9768 10796 16194 19536 21592 29689 32388 43184 59378 64776 89067 99863 118756 129552 178134 199726 237512 299589 356268 399452 475024 599178 712536 798904 1098493 1198356 1425072 1597808 2196986 2396712 3295479 4393972 4793424 6590958 8787944 13181916 17575888 26363832 52727664