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513154242 = 232192389733
BaseRepresentation
bin11110100101100…
…001110011000010
31022202120221021200
4132211201303002
52022331413432
6122530402030
715500511336
oct3645416302
91282527250
10513154242
11243731417
12123a30316
138240c583
144c21b7c6
15300b5a7c
hex1e961cc2

513154242 has 96 divisors (see below), whose sum is σ = 1236643200. Its totient is φ = 153052416.

The previous prime is 513154207. The next prime is 513154247. The reversal of 513154242 is 242451315.

513154242 is a `hidden beast` number, since 51 + 31 + 542 + 42 = 666.

It is not an unprimeable number, because it can be changed into a prime (513154247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 699708 + ... + 700440.

It is an arithmetic number, because the mean of its divisors is an integer number (12881700).

Almost surely, 2513154242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513154242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618321600).

513154242 is an abundant number, since it is smaller than the sum of its proper divisors (723488958).

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

513154242 is a wasteful number, since it uses less digits than its factorization.

513154242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 869 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 513154242 is about 22652.9080252404. The cubic root of 513154242 is about 800.6007165200.

The spelling of 513154242 in words is "five hundred thirteen million, one hundred fifty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 19 23 38 46 57 69 89 114 138 171 178 207 267 342 414 437 534 733 801 874 1311 1466 1602 1691 2047 2199 2622 3382 3933 4094 4398 5073 6141 6597 7866 10146 12282 13194 13927 15219 16859 18423 27854 30438 33718 36846 38893 41781 50577 65237 77786 83562 101154 116679 125343 130474 151731 195711 233358 250686 303462 320321 350037 391422 587133 640642 700074 960963 1174266 1239503 1500451 1921926 2479006 2882889 3000902 3718509 4501353 5765778 7437018 9002706 11155527 13504059 22311054 27008118 28508569 57017138 85525707 171051414 256577121 513154242