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561944136 = 2331329173359
BaseRepresentation
bin100001011111101…
…001011001001000
31110011101201102210
4201133221121020
52122324203021
6131432225120
716632306045
oct4137513110
91404351383
10561944136
11269225a46
1213823b1a0
138c562c30
14548bc1cc
1534501e76
hex217e9648

561944136 has 128 divisors (see below), whose sum is σ = 1578528000. Its totient is φ = 165516288.

The previous prime is 561944093. The next prime is 561944137. The reversal of 561944136 is 631449165.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 561944094 and 561944103.

It is not an unprimeable number, because it can be changed into a prime (561944137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1565125 + ... + 1565483.

It is an arithmetic number, because the mean of its divisors is an integer number (12332250).

Almost surely, 2561944136 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 561944136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789264000).

561944136 is an abundant number, since it is smaller than the sum of its proper divisors (1016583864).

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

561944136 is a wasteful number, since it uses less digits than its factorization.

561944136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 579 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 561944136 is about 23705.3609126712. The cubic root of 561944136 is about 825.2098081629.

The spelling of 561944136 in words is "five hundred sixty-one million, nine hundred forty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 173 174 232 312 346 348 359 377 519 692 696 718 754 1038 1077 1131 1384 1436 1508 2076 2154 2249 2262 2872 3016 4152 4308 4498 4524 4667 5017 6747 8616 8996 9048 9334 10034 10411 13494 14001 15051 17992 18668 20068 20822 26988 28002 30102 31233 37336 40136 41644 53976 56004 60204 62107 62466 65221 83288 112008 120408 124214 124932 130442 135343 186321 195663 248428 249864 260884 270686 372642 391326 406029 496856 521768 541372 745284 782652 807391 812058 1082744 1490568 1565304 1614782 1624116 1801103 2422173 3229564 3248232 3602206 4844346 5403309 6459128 7204412 9688692 10806618 14408824 19377384 21613236 23414339 43226472 46828678 70243017 93657356 140486034 187314712 280972068 561944136