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561523464 = 2332171932377
BaseRepresentation
bin100001011110000…
…010101100001000
31110010121100101100
4201132002230020
52122222222324
6131415221400
716625604435
oct4136025410
91403540340
10561523464
11268a68987
12138077860
138c446608
145480cb8c
153446c4c9
hex21782b08

561523464 has 96 divisors (see below), whose sum is σ = 1619275320. Its totient is φ = 175177728.

The previous prime is 561523463. The next prime is 561523471. The reversal of 561523464 is 464325165.

561523464 is a `hidden beast` number, since 5 + 615 + 2 + 34 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 462680100 + 98843364 = 21510^2 + 9942^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (561523463) 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 23 ways as a sum of consecutive naturals, for example, 235044 + ... + 237420.

Almost surely, 2561523464 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 561523464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809637660).

561523464 is an abundant number, since it is smaller than the sum of its proper divisors (1057751856).

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

561523464 is a wasteful number, since it uses less digits than its factorization.

561523464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599 (or 2592 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 561523464 is about 23696.4863218157. The cubic root of 561523464 is about 825.0038391006.

The spelling of 561523464 in words is "five hundred sixty-one million, five hundred twenty-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 193 204 306 386 408 579 612 772 1158 1224 1544 1737 2316 2377 3281 3474 4632 4754 6562 6948 7131 9508 9843 13124 13896 14262 19016 19686 21393 26248 28524 29529 39372 40409 42786 57048 59058 78744 80818 85572 118116 121227 161636 171144 236232 242454 323272 363681 458761 484908 727362 917522 969816 1376283 1454724 1835044 2752566 2909448 3670088 4128849 5505132 7798937 8257698 11010264 15597874 16515396 23396811 31195748 33030792 46793622 62391496 70190433 93587244 140380866 187174488 280761732 561523464