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494760504 = 233712723189
BaseRepresentation
bin11101011111010…
…111001000111000
31021110222102211010
4131133113020320
52003124314004
6121032233520
715155252310
oct3537271070
91243872733
10494760504
11234308987
1211983b8a0
137b66c2c4
14499d0440
152d680a89
hex1d7d7238

494760504 has 64 divisors (see below), whose sum is σ = 1424793600. Its totient is φ = 140241024.

The previous prime is 494760499. The next prime is 494760509. The reversal of 494760504 is 405067494.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (494760499) and next prime (494760509).

It is a super-3 number, since 3×4947605043 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494760509) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9742 + ... + 32930.

It is an arithmetic number, because the mean of its divisors is an integer number (22262400).

Almost surely, 2494760504 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 494760504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712396800).

494760504 is an abundant number, since it is smaller than the sum of its proper divisors (930033096).

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

494760504 is a wasteful number, since it uses less digits than its factorization.

494760504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23332 (or 23328 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 494760504 is about 22243.2125377608. The cubic root of 494760504 is about 790.9183914255.

The spelling of 494760504 in words is "four hundred ninety-four million, seven hundred sixty thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 127 168 254 381 508 762 889 1016 1524 1778 2667 3048 3556 5334 7112 10668 21336 23189 46378 69567 92756 139134 162323 185512 278268 324646 486969 556536 649292 973938 1298584 1947876 2945003 3895752 5890006 8835009 11780012 17670018 20615021 23560024 35340036 41230042 61845063 70680072 82460084 123690126 164920168 247380252 494760504