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52563888 = 24321343653
BaseRepresentation
bin1100100010000…
…0111110110000
310122220112002200
43020200332300
5101424021023
65114343200
71205533326
oct310407660
9118815080
1052563888
1127742033
121572ab00
13ab753c0
146da3d16
154934743
hex3220fb0

52563888 has 120 divisors (see below), whose sum is σ = 162354192. Its totient is φ = 15773184.

The previous prime is 52563877. The next prime is 52563913. The reversal of 52563888 is 88836525.

It is a happy number.

52563888 is a `hidden beast` number, since 5 + 2 + 5 + 638 + 8 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80170 + ... + 80822.

Almost surely, 252563888 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 52563888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81177096).

52563888 is an abundant number, since it is smaller than the sum of its proper divisors (109790304).

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

52563888 is a wasteful number, since it uses less digits than its factorization.

52563888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 714 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 52563888 is about 7250.0957235060. The cubic root of 52563888 is about 374.5954463873.

The spelling of 52563888 in words is "fifty-two million, five hundred sixty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 43 48 52 72 78 86 104 117 129 144 156 172 208 234 258 312 344 387 468 516 559 624 653 688 774 936 1032 1118 1306 1548 1677 1872 1959 2064 2236 2612 3096 3354 3918 4472 5031 5224 5877 6192 6708 7836 8489 8944 10062 10448 11754 13416 15672 16978 20124 23508 25467 26832 28079 31344 33956 40248 47016 50934 56158 67912 76401 80496 84237 94032 101868 112316 135824 152802 168474 203736 224632 252711 305604 336948 365027 407472 449264 505422 611208 673896 730054 1010844 1095081 1222416 1347792 1460108 2021688 2190162 2920216 3285243 4043376 4380324 5840432 6570486 8760648 13140972 17521296 26281944 52563888