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613313856 = 2634193613
BaseRepresentation
bin100100100011100…
…110110101000000
31120202001120110000
4210203212311000
52224002020411
6140505240000
721125040021
oct4443466500
91522046400
10613313856
11295221861
12151493000
139a0aa90c
145b650c48
1538c9c956
hex248e6d40

613313856 has 140 divisors (see below), whose sum is σ = 1830455572. Its totient is φ = 203046912.

The previous prime is 613313843. The next prime is 613313873. The reversal of 613313856 is 658313316.

It is a happy number.

613313856 is a `hidden beast` number, since 613 + 3 + 1 + 38 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 48776256 + 564537600 = 6984^2 + 23760^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 613313856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1000206 + ... + 1000818.

Almost surely, 2613313856 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 613313856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915227786).

613313856 is an abundant number, since it is smaller than the sum of its proper divisors (1217141716).

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

613313856 is a wasteful number, since it uses less digits than its factorization.

613313856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 811 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 613313856 is about 24765.1742574124. The cubic root of 613313856 is about 849.6256048972.

The spelling of 613313856 in words is "six hundred thirteen million, three hundred thirteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 193 216 288 324 386 432 576 579 613 648 772 864 1158 1226 1296 1544 1728 1737 1839 2316 2452 2592 3088 3474 3678 4632 4904 5184 5211 5517 6176 6948 7356 9264 9808 10422 11034 12352 13896 14712 15633 16551 18528 19616 20844 22068 27792 29424 31266 33102 37056 39232 41688 44136 49653 55584 58848 62532 66204 83376 88272 99306 111168 117696 118309 125064 132408 166752 176544 198612 236618 250128 264816 333504 353088 354927 397224 473236 500256 529632 709854 794448 946472 1000512 1059264 1064781 1419708 1588896 1892944 2129562 2839416 3177792 3194343 3785888 4259124 5678832 6388686 7571776 8518248 9583029 11357664 12777372 17036496 19166058 22715328 25554744 34072992 38332116 51109488 68145984 76664232 102218976 153328464 204437952 306656928 613313856