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561652290 = 232517675479
BaseRepresentation
bin100001011110100…
…010001001000010
31110010211220002200
4201132202021002
52122240333130
6131422054030
716626652143
oct4136421102
91403756080
10561652290
11269046751
1213811a316
138c490144
1454843aca
1534495760
hex217a2242

561652290 has 96 divisors (see below), whose sum is σ = 1569559680. Its totient is φ = 138834432.

The previous prime is 561652277. The next prime is 561652337. The reversal of 561652290 is 92256165.

561652290 is a `hidden beast` number, since 561 + 6 + 5 + 2 + 2 + 90 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 99771 + ... + 105249.

It is an arithmetic number, because the mean of its divisors is an integer number (16349580).

Almost surely, 2561652290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561652290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784779840).

561652290 is an abundant number, since it is smaller than the sum of its proper divisors (1007907390).

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

561652290 is a wasteful number, since it uses less digits than its factorization.

561652290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5576 (or 5573 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 561652290 is about 23699.2044170263. The cubic root of 561652290 is about 825.0669257002.

The spelling of 561652290 in words is "five hundred sixty-one million, six hundred fifty-two thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 67 85 90 102 134 153 170 201 255 306 335 402 510 603 670 765 1005 1139 1206 1530 2010 2278 3015 3417 5479 5695 6030 6834 10251 10958 11390 16437 17085 20502 27395 32874 34170 49311 51255 54790 82185 93143 98622 102510 164370 186286 246555 279429 367093 465715 493110 558858 734186 838287 931430 1101279 1397145 1676574 1835465 2202558 2794290 3303837 3670930 4191435 5506395 6240581 6607674 8382870 11012790 12481162 16519185 18721743 31202905 33038370 37443486 56165229 62405810 93608715 112330458 187217430 280826145 561652290