Search a number
-
+
564979972 = 221721929887
BaseRepresentation
bin100001101011001…
…110100100000100
31110101002221211011
4201223032210010
52124113324342
6132021252004
720000151634
oct4153164404
91411087734
10564979972
1126aa098a7
12139264004
139008699b
145506c6c4
1534901717
hex21ace904

564979972 has 72 divisors (see below), whose sum is σ = 1144987200. Its totient is φ = 242919936.

The previous prime is 564979963. The next prime is 564980011. The reversal of 564979972 is 279979465.

It is a super-2 number, since 2×5649799722 = 638404737522241568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 636513 + ... + 637399.

It is an arithmetic number, because the mean of its divisors is an integer number (15902600).

Almost surely, 2564979972 is an apocalyptic number.

It is an amenable number.

564979972 is an abundant number, since it is smaller than the sum of its proper divisors (580007228).

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

564979972 is a wasteful number, since it uses less digits than its factorization.

564979972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 954 counting only the distinct ones).

The product of its digits is 8573040, while the sum is 58.

The square root of 564979972 is about 23769.3073521296. The cubic root of 564979972 is about 826.6931725661.

The spelling of 564979972 in words is "five hundred sixty-four million, nine hundred seventy-nine thousand, nine hundred seventy-two".

Divisors: 1 2 4 17 19 29 34 38 58 68 76 116 289 323 493 551 578 646 887 986 1102 1156 1292 1774 1972 2204 3548 5491 8381 9367 10982 15079 16762 16853 18734 21964 25723 30158 33524 33706 37468 51446 60316 67412 102892 159239 256343 286501 318478 437291 488737 512686 573002 636956 874582 977474 1025372 1146004 1749164 1954948 4870517 7433947 8308529 9741034 14867894 16617058 19482068 29735788 33234116 141244993 282489986 564979972