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564956412 = 2231917314323
BaseRepresentation
bin100001101011001…
…000110011111100
31110101001202111120
4201223020303330
52124112101122
6132020550540
720000023146
oct4153106374
91411052446
10564956412
1126a9a3129
12139252450
1390079047
1455063c96
15348e975c
hex21ac8cfc

564956412 has 48 divisors (see below), whose sum is σ = 1395730560. Its totient is φ = 177363648.

The previous prime is 564956411. The next prime is 564956419. The reversal of 564956412 is 214659465.

564956412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564956411) 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, 32283 + ... + 46605.

It is an arithmetic number, because the mean of its divisors is an integer number (29077720).

Almost surely, 2564956412 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 564956412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697865280).

564956412 is an abundant number, since it is smaller than the sum of its proper divisors (830774148).

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

564956412 is a wasteful number, since it uses less digits than its factorization.

564956412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14522 (or 14520 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 564956412 is about 23768.8117498541. The cubic root of 564956412 is about 826.6816812078.

The spelling of 564956412 in words is "five hundred sixty-four million, nine hundred fifty-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 173 228 346 519 692 1038 2076 3287 6574 9861 13148 14323 19722 28646 39444 42969 57292 85938 171876 272137 544274 816411 1088548 1632822 2477879 3265644 4955758 7433637 9911516 14867274 29734548 47079701 94159402 141239103 188318804 282478206 564956412