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514045056 = 2737191237
BaseRepresentation
bin11110101000111…
…011010010000000
31022211021012020210
4132220323102000
52023043420211
6123001434120
715511211430
oct3650732200
91284235223
10514045056
1124418a728
1212419b940
1382661b95
144c3b02c0
15301de9a6
hex1ea3b480

514045056 has 64 divisors (see below), whose sum is σ = 1560502080. Its totient is φ = 146869248.

The previous prime is 514045027. The next prime is 514045061. The reversal of 514045056 is 650540415.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 92931 + ... + 98306.

It is an arithmetic number, because the mean of its divisors is an integer number (24382845).

Almost surely, 2514045056 is an apocalyptic number.

514045056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

514045056 is an abundant number, since it is smaller than the sum of its proper divisors (1046457024).

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

514045056 is a wasteful number, since it uses less digits than its factorization.

514045056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191261 (or 191249 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 514045056 is about 22672.5617432173. The cubic root of 514045056 is about 801.0637183356.

The spelling of 514045056 in words is "five hundred fourteen million, forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 191237 382474 573711 764948 1147422 1338659 1529896 2294844 2677318 3059792 4015977 4589688 5354636 6119584 8031954 9179376 10709272 12239168 16063908 18358752 21418544 24478336 32127816 36717504 42837088 64255632 73435008 85674176 128511264 171348352 257022528 514045056