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514465056 = 25327255191
BaseRepresentation
bin11110101010100…
…001110100100000
31022212001112101100
4132222201310200
52023200340211
6123014434400
715514611060
oct3652416440
91285045340
10514465056
11244447236
12124362a00
138277b0c1
144c47d3a0
1530274156
hex1eaa1d20

514465056 has 72 divisors (see below), whose sum is σ = 1672017984. Its totient is φ = 146989440.

The previous prime is 514465031. The next prime is 514465069. The reversal of 514465056 is 650564415.

514465056 is a `hidden beast` number, since 5 + 144 + 6 + 505 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 514465056.

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 11 ways as a sum of consecutive naturals, for example, 125580 + ... + 129611.

It is an arithmetic number, because the mean of its divisors is an integer number (23222472).

Almost surely, 2514465056 is an apocalyptic number.

514465056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

514465056 is an abundant number, since it is smaller than the sum of its proper divisors (1157552928).

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

514465056 is a wasteful number, since it uses less digits than its factorization.

514465056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255214 (or 255203 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 514465056 is about 22681.8221490250. The cubic root of 514465056 is about 801.2818283814.

The spelling of 514465056 in words is "five hundred fourteen million, four hundred sixty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 255191 510382 765573 1020764 1531146 1786337 2041528 2296719 3062292 3572674 4083056 4593438 5359011 6124584 7145348 8166112 9186876 10718022 12249168 14290696 16077033 18373752 21436044 24498336 28581392 32154066 36747504 42872088 57162784 64308132 73495008 85744176 128616264 171488352 257232528 514465056