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493768044 = 2232711178127
BaseRepresentation
bin11101011011100…
…100110101101100
31021102010000102100
4131123210311230
52002401034134
6120555055100
715143646660
oct3533446554
91242100370
10493768044
112337a0270
12119441490
137b3b2653
14498128a0
152d536999
hex1d6e4d6c

493768044 has 72 divisors (see below), whose sum is σ = 1556126208. Its totient is φ = 128250720.

The previous prime is 493768027. The next prime is 493768057. The reversal of 493768044 is 440867394.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86292 + ... + 91835.

It is an arithmetic number, because the mean of its divisors is an integer number (21612864).

Almost surely, 2493768044 is an apocalyptic number.

493768044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

493768044 is an abundant number, since it is smaller than the sum of its proper divisors (1062358164).

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

493768044 is a wasteful number, since it uses less digits than its factorization.

493768044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178155 (or 178150 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 493768044 is about 22220.8920613012. The cubic root of 493768044 is about 790.3891924133.

The spelling of 493768044 in words is "four hundred ninety-three million, seven hundred sixty-eight thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 178127 356254 534381 712508 1068762 1246889 1603143 1959397 2137524 2493778 3206286 3740667 3918794 4987556 5878191 6412572 7481334 7837588 11222001 11756382 13715779 14962668 17634573 22444002 23512764 27431558 35269146 41147337 44888004 54863116 70538292 82294674 123442011 164589348 246884022 493768044