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514515216 = 243291133271
BaseRepresentation
bin11110101010101…
…110000100010000
31022212011002012010
4132222232010100
52023203441331
6123015502520
715515210235
oct3652560420
91285132163
10514515216
11244480996
12124387a40
1382797b97
144c49378c
1530283e46
hex1eaae110

514515216 has 80 divisors (see below), whose sum is σ = 1387589760. Its totient is φ = 164075520.

The previous prime is 514515173. The next prime is 514515241. The reversal of 514515216 is 612515415.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155661 + ... + 158931.

It is an arithmetic number, because the mean of its divisors is an integer number (17344872).

Almost surely, 2514515216 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 514515216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693794880).

514515216 is an abundant number, since it is smaller than the sum of its proper divisors (873074544).

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

514515216 is a wasteful number, since it uses less digits than its factorization.

514515216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424 (or 3418 counting only the distinct ones).

The product of its digits is 6000, while the sum is 30.

The square root of 514515216 is about 22682.9278533438. The cubic root of 514515216 is about 801.3078690165.

The spelling of 514515216 in words is "five hundred fourteen million, five hundred fifteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 113 116 174 226 232 339 348 452 464 678 696 904 1356 1392 1808 2712 3271 3277 5424 6542 6554 9813 9831 13084 13108 19626 19662 26168 26216 39252 39324 52336 52432 78504 78648 94859 157008 157296 189718 284577 369623 379436 569154 739246 758872 1108869 1138308 1478492 1517744 2217738 2276616 2956984 4435476 4553232 5913968 8870952 10719067 17741904 21438134 32157201 42876268 64314402 85752536 128628804 171505072 257257608 514515216