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516108336 = 243311512297
BaseRepresentation
bin11110110000110…
…011000000110000
31022222011000112120
4132300303000300
52024110431321
6123113554240
715534564012
oct3660630060
91288130476
10516108336
11245369917
12124a15980
1382c05063
144c78a1b2
153049aec6
hex1ec33030

516108336 has 80 divisors (see below), whose sum is σ = 1386006528. Its totient is φ = 165312000.

The previous prime is 516108233. The next prime is 516108347. The reversal of 516108336 is 633801615.

It is a junction number, because it is equal to n+sod(n) for n = 516108297 and 516108306.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223540 + ... + 225836.

Almost surely, 2516108336 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 516108336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693003264).

516108336 is an abundant number, since it is smaller than the sum of its proper divisors (869898192).

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

516108336 is a wasteful number, since it uses less digits than its factorization.

516108336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 516108336 is about 22718.0178712845. The cubic root of 516108336 is about 802.1340605036.

The spelling of 516108336 in words is "five hundred sixteen million, one hundred eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 151 186 248 302 372 453 496 604 744 906 1208 1488 1812 2297 2416 3624 4594 4681 6891 7248 9188 9362 13782 14043 18376 18724 27564 28086 36752 37448 55128 56172 71207 74896 110256 112344 142414 213621 224688 284828 346847 427242 569656 693694 854484 1040541 1139312 1387388 1708968 2081082 2774776 3417936 4162164 5549552 8324328 10752257 16648656 21504514 32256771 43009028 64513542 86018056 129027084 172036112 258054168 516108336