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504325696 = 2675771951
BaseRepresentation
bin11110000011110…
…110011001000000
31022010222101210111
4132003312121000
52013101410241
6122013241104
715332461210
oct3603663100
91263871714
10504325696
112397513a6
12120a93194
138063ac94
144ada0240
152e41ec81
hex1e0f6640

504325696 has 56 divisors (see below), whose sum is σ = 1146308096. Its totient is φ = 215654400.

The previous prime is 504325691. The next prime is 504325697. The reversal of 504325696 is 696523405.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (504325691) by changing a digit.

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, 257521 + ... + 259471.

Almost surely, 2504325696 is an apocalyptic number.

504325696 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504325696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573154048).

504325696 is an abundant number, since it is smaller than the sum of its proper divisors (641982400).

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

504325696 is a wasteful number, since it uses less digits than its factorization.

504325696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2547 (or 2537 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 40.

The square root of 504325696 is about 22457.1969755800. The cubic root of 504325696 is about 795.9828283460.

The spelling of 504325696 in words is "five hundred four million, three hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 577 1154 1951 2308 3902 4039 4616 7804 8078 9232 13657 15608 16156 18464 27314 31216 32312 36928 54628 62432 64624 109256 124864 129248 218512 258496 437024 874048 1125727 2251454 4502908 7880089 9005816 15760178 18011632 31520356 36023264 63040712 72046528 126081424 252162848 504325696