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503383968 = 25328771993
BaseRepresentation
bin11110000000010…
…000011110100000
31022002012112222200
4132000100132200
52012331241333
6121541133200
715321456513
oct3600203640
91262175880
10503383968
1123916890a
121206ba200
138039b449
144abd6d7a
152e2d5c13
hex1e0107a0

503383968 has 72 divisors (see below), whose sum is σ = 1433849508. Its totient is φ = 167519232.

The previous prime is 503383963. The next prime is 503383973. The reversal of 503383968 is 869383305.

503383968 is a `hidden beast` number, since 503 + 3 + 83 + 9 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (503383963) and next prime (503383973).

It can be written as a sum of positive squares in 2 ways, for example, as 456762384 + 46621584 = 21372^2 + 6828^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (503383963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 251580 + ... + 253572.

Almost surely, 2503383968 is an apocalyptic number.

It is an amenable number.

503383968 is an abundant number, since it is smaller than the sum of its proper divisors (930465540).

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

503383968 is a wasteful number, since it uses less digits than its factorization.

503383968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 503383968 is about 22436.2200024870. The cubic root of 503383968 is about 795.4870730676.

The spelling of 503383968 in words is "five hundred three million, three hundred eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 877 1754 1993 2631 3508 3986 5262 5979 7016 7893 7972 10524 11958 14032 15786 15944 17937 21048 23916 28064 31572 31888 35874 42096 47832 63144 63776 71748 84192 95664 126288 143496 191328 252576 286992 573984 1747861 3495722 5243583 6991444 10487166 13982888 15730749 20974332 27965776 31461498 41948664 55931552 62922996 83897328 125845992 167794656 251691984 503383968