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503016672 = 253171931597
BaseRepresentation
bin11101111110110…
…110110011100000
31022001111220011010
4131332312303200
52012233013142
6121525220520
715315366624
oct3576666340
91261456133
10503016672
11238a37964
12120561740
13802a0202
144ab3d184
152e261e9c
hex1dfb6ce0

503016672 has 96 divisors (see below), whose sum is σ = 1406214432. Its totient is φ = 156893184.

The previous prime is 503016653. The next prime is 503016673. The reversal of 503016672 is 276610305.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (503016673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314178 + ... + 315774.

It is an arithmetic number, because the mean of its divisors is an integer number (14648067).

Almost surely, 2503016672 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 503016672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703107216).

503016672 is an abundant number, since it is smaller than the sum of its proper divisors (903197760).

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

503016672 is a wasteful number, since it uses less digits than its factorization.

503016672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 503016672 is about 22428.0331727952. The cubic root of 503016672 is about 795.2935492828.

Adding to 503016672 its reverse (276610305), we get a palindrome (779626977).

The spelling of 503016672 in words is "five hundred three million, sixteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 193 204 272 386 408 544 579 772 816 1158 1544 1597 1632 2316 3088 3194 3281 4632 4791 6176 6388 6562 9264 9582 9843 12776 13124 18528 19164 19686 25552 26248 27149 38328 39372 51104 52496 54298 76656 78744 81447 104992 108596 153312 157488 162894 217192 308221 314976 325788 434384 616442 651576 868768 924663 1232884 1303152 1849326 2465768 2606304 3698652 4931536 5239757 7397304 9863072 10479514 14794608 15719271 20959028 29589216 31438542 41918056 62877084 83836112 125754168 167672224 251508336 503016672