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52864585929 = 345924332
BaseRepresentation
bin110001001110111110…
…011001000011001001
312001110020001012210000
4301032332121003021
51331231313222204
640141411313213
73551014365141
oct611676310311
9161406035700
1052864585929
1120468753941
12a2b42ab809
134ca639139c
1427b6d67921
1515960db039
hexc4ef990c9

52864585929 has 45 divisors (see below), whose sum is σ = 80517676503. Its totient is φ = 34565704128.

The previous prime is 52864585927. The next prime is 52864585937. The reversal of 52864585929 is 92958546825.

The square root of 52864585929 is 229923.

It is a perfect power (a square), and thus also a powerful number.

52864585929 is a `hidden beast` number, since 5 + 28 + 6 + 4 + 585 + 9 + 29 = 666.

52864585929 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5928230025 + 46936355904 = 76995^2 + 216648^2 .

It is not a de Polignac number, because 52864585929 - 21 = 52864585927 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (52864585927) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 122088897 + ... + 122089329.

Almost surely, 252864585929 is an apocalyptic number.

52864585929 is a gapful number since it is divisible by the number (59) formed by its first and last digit.

52864585929 is the 229923-rd square number.

52864585929 is the 114962-nd centered octagonal number.

It is an amenable number.

52864585929 is a deficient number, since it is larger than the sum of its proper divisors (27653090574).

52864585929 is an frugal number, since it uses more digits than its factorization.

52864585929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 495 counting only the distinct ones).

The product of its digits is 62208000, while the sum is 63.

The spelling of 52864585929 in words is "fifty-two billion, eight hundred sixty-four million, five hundred eighty-five thousand, nine hundred twenty-nine".

Divisors: 1 3 9 27 59 81 177 433 531 1299 1593 3481 3897 4779 10443 11691 25547 31329 35073 76641 93987 187489 229923 281961 562467 689769 1507273 1687401 2069307 4521819 5062203 11061851 13565457 15186609 33185553 40696371 99556659 122089113 298669977 652649209 896009931 1957947627 5873842881 17621528643 52864585929