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516084933 = 37132145417
BaseRepresentation
bin11110110000101…
…101010011000101
31022222002211102210
4132300231103011
52024104204213
6123113254033
715534435540
oct3660552305
91288084383
10516084933
11245353281
12124a04319
1382bc7500
144c781857
15304940c3
hex1ec2d4c5

516084933 has 24 divisors (see below), whose sum is σ = 851567808. Its totient is φ = 272218752.

The previous prime is 516084913. The next prime is 516084979. The reversal of 516084933 is 339480615.

It is not a de Polignac number, because 516084933 - 28 = 516084677 is a prime.

It is a super-2 number, since 2×5160849332 = 532687316139228978, which contains 22 as substring.

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 = 516084891 and 516084900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516084913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69160 + ... + 76257.

It is an arithmetic number, because the mean of its divisors is an integer number (35481992).

Almost surely, 2516084933 is an apocalyptic number.

It is an amenable number.

516084933 is a deficient number, since it is larger than the sum of its proper divisors (335482875).

516084933 is a wasteful number, since it uses less digits than its factorization.

516084933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145453 (or 145440 counting only the distinct ones).

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

The square root of 516084933 is about 22717.5027896994. The cubic root of 516084933 is about 802.1219360290.

The spelling of 516084933 in words is "five hundred sixteen million, eighty-four thousand, nine hundred thirty-three".

Divisors: 1 3 7 13 21 39 91 169 273 507 1183 3549 145417 436251 1017919 1890421 3053757 5671263 13232947 24575473 39698841 73726419 172028311 516084933