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564741952 = 2637713359
BaseRepresentation
bin100001101010010…
…100011101000000
31110100122212022121
4201222110131000
52124033220302
6132012214024
716665140665
oct4152243500
91410585277
10564741952
1126a866a95
1213916a314
1390002548
1455009a6c
15348a5e37
hex21a94740

564741952 has 56 divisors (see below), whose sum is σ = 1167505920. Its totient is φ = 270789120.

The previous prime is 564741941. The next prime is 564741953. The reversal of 564741952 is 259147465.

It is a junction number, because it is equal to n+sod(n) for n = 564741899 and 564741908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564741953) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 166449 + ... + 169807.

It is an arithmetic number, because the mean of its divisors is an integer number (20848320).

Almost surely, 2564741952 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 564741952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583752960).

564741952 is an abundant number, since it is smaller than the sum of its proper divisors (602763968).

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

564741952 is a wasteful number, since it uses less digits than its factorization.

564741952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3479 (or 3469 counting only the distinct ones).

The product of its digits is 302400, while the sum is 43.

The square root of 564741952 is about 23764.2999476105. The cubic root of 564741952 is about 826.5770639384.

The spelling of 564741952 in words is "five hundred sixty-four million, seven hundred forty-one thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 37 64 71 74 142 148 284 296 568 592 1136 1184 2272 2368 2627 3359 4544 5254 6718 10508 13436 21016 26872 42032 53744 84064 107488 124283 168128 214976 238489 248566 476978 497132 953956 994264 1907912 1988528 3815824 3977056 7631648 7954112 8824093 15263296 17648186 35296372 70592744 141185488 282370976 564741952