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564880506 = 2323127167193
BaseRepresentation
bin100001101010110…
…110010001111010
31110100220220101020
4201222312101322
52124102134011
6132015203310
716666255641
oct4152662172
91410826336
10564880506
1126a9510a3
12139216536
1390050628
1455044358
15348d2006
hex21ab647a

564880506 has 64 divisors (see below), whose sum is σ = 1201471488. Its totient is φ = 176698368.

The previous prime is 564880453. The next prime is 564880513. The reversal of 564880506 is 605088465.

564880506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2926746 + ... + 2926938.

It is an arithmetic number, because the mean of its divisors is an integer number (18772992).

Almost surely, 2564880506 is an apocalyptic number.

564880506 is an abundant number, since it is smaller than the sum of its proper divisors (636590982).

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

564880506 is a wasteful number, since it uses less digits than its factorization.

564880506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515.

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 564880506 is about 23767.2149399125. The cubic root of 564880506 is about 826.6446559855.

The spelling of 564880506 in words is "five hundred sixty-four million, eight hundred eighty thousand, five hundred six".

Divisors: 1 2 3 6 23 46 69 127 138 167 193 254 334 381 386 501 579 762 1002 1158 2921 3841 4439 5842 7682 8763 8878 11523 13317 17526 21209 23046 24511 26634 32231 42418 49022 63627 64462 73533 96693 127254 147066 193386 487807 563753 741313 975614 1127506 1463421 1482626 1691259 2223939 2926842 3382518 4093337 4447878 8186674 12280011 24560022 94146751 188293502 282440253 564880506