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504868896 = 2533783477
BaseRepresentation
bin11110000101111…
…011000000100000
31022011222222221000
4132011323000200
52013221301041
6122033032000
715340212660
oct3605730040
91264888830
10504868896
11239a92524
121210b5600
138079b2bc
144b0a21a0
152e4cabb6
hex1e17b020

504868896 has 96 divisors (see below), whose sum is σ = 1682916480. Its totient is φ = 144246528.

The previous prime is 504868849. The next prime is 504868913. The reversal of 504868896 is 698868405.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35691 + ... + 47786.

It is an arithmetic number, because the mean of its divisors is an integer number (17530380).

Almost surely, 2504868896 is an apocalyptic number.

504868896 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

504868896 is an abundant number, since it is smaller than the sum of its proper divisors (1178047584).

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

504868896 is a wasteful number, since it uses less digits than its factorization.

504868896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83503 (or 83489 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 504868896 is about 22469.2878391817. The cubic root of 504868896 is about 796.2685053289.

The spelling of 504868896 in words is "five hundred four million, eight hundred sixty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 83477 166954 250431 333908 500862 584339 667816 751293 1001724 1168678 1335632 1502586 1753017 2003448 2253879 2337356 2671264 3005172 3506034 4006896 4507758 4674712 5259051 6010344 7012068 8013792 9015516 9349424 10518102 12020688 14024136 15777153 18031032 18698848 21036204 24041376 28048272 31554306 36062064 42072408 56096544 63108612 72124128 84144816 126217224 168289632 252434448 504868896