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513552996 = 22321129197227
BaseRepresentation
bin11110100111000…
…011001001100100
31022210100012021100
4132213003021210
52022432143441
6122543120100
715504062025
oct3647031144
91283305240
10513552996
11243983a70
12123ba3030
138251bc18
144c2c2c4c
1530143cb6
hex1e9c3264

513552996 has 144 divisors (see below), whose sum is σ = 1478917440. Its totient is φ = 148834560.

The previous prime is 513552989. The next prime is 513553013. The reversal of 513552996 is 699255315.

513552996 is a `hidden beast` number, since 5 + 1 + 3 + 552 + 9 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2262235 + ... + 2262461.

It is an arithmetic number, because the mean of its divisors is an integer number (10270260).

Almost surely, 2513552996 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 513552996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739458720).

513552996 is an abundant number, since it is smaller than the sum of its proper divisors (965364444).

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

513552996 is a wasteful number, since it uses less digits than its factorization.

513552996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 469 counting only the distinct ones).

The product of its digits is 364500, while the sum is 45.

The square root of 513552996 is about 22661.7077026424. The cubic root of 513552996 is about 800.8080356565.

The spelling of 513552996 in words is "five hundred thirteen million, five hundred fifty-two thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 197 198 227 261 319 348 394 396 454 522 591 638 681 788 908 957 1044 1182 1276 1362 1773 1914 2043 2167 2364 2497 2724 2871 3546 3828 4086 4334 4994 5713 5742 6501 6583 7092 7491 8172 8668 9988 11426 11484 13002 13166 14982 17139 19503 19749 22473 22852 26004 26332 29964 34278 39006 39498 44719 44946 51417 59247 62843 68556 72413 78012 78996 89438 89892 102834 118494 125686 134157 144826 178876 188529 205668 217239 236988 251372 268314 289652 377058 402471 434478 491909 536628 565587 651717 754116 804942 868956 983818 1131174 1296851 1303434 1475727 1609884 1967636 2262348 2593702 2606868 2951454 3890553 4427181 5187404 5902908 7781106 8854362 11671659 14265361 15562212 17708724 23343318 28530722 42796083 46686636 57061444 85592166 128388249 171184332 256776498 513552996