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564055232 = 26133773251
BaseRepresentation
bin100001100111101…
…100110011000000
31110022100222022112
4201213230303000
52123344231412
6131545354452
716656250616
oct4147546300
91408328275
10564055232
1126a438054
12138a98a28
138cb21ac0
1454cab6b6
15347bc722
hex219eccc0

564055232 has 112 divisors (see below), whose sum is σ = 1259933472. Its totient is φ = 248832000.

The previous prime is 564055229. The next prime is 564055253. The reversal of 564055232 is 232550465.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2247107 + ... + 2247357.

It is an arithmetic number, because the mean of its divisors is an integer number (11249406).

Almost surely, 2564055232 is an apocalyptic number.

564055232 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564055232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629966736).

564055232 is an abundant number, since it is smaller than the sum of its proper divisors (695878240).

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

564055232 is a wasteful number, since it uses less digits than its factorization.

564055232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The square root of 564055232 is about 23749.8469889808. The cubic root of 564055232 is about 826.2418918414.

The spelling of 564055232 in words is "five hundred sixty-four million, fifty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 73 74 104 146 148 208 251 292 296 416 481 502 584 592 832 949 962 1004 1168 1184 1898 1924 2008 2336 2368 2701 3263 3796 3848 4016 4672 5402 6526 7592 7696 8032 9287 10804 13052 15184 15392 16064 18323 18574 21608 26104 30368 30784 35113 36646 37148 43216 52208 60736 70226 73292 74296 86432 104416 120731 140452 146584 148592 172864 208832 238199 241462 280904 293168 297184 476398 482924 561808 586336 594368 677951 952796 965848 1123616 1172672 1355902 1905592 1931696 2247232 2711804 3811184 3863392 5423608 7622368 7726784 8813363 10847216 15244736 17626726 21694432 35253452 43388864 70506904 141013808 282027616 564055232