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506974968 = 23327041319
BaseRepresentation
bin11110001101111…
…101001011111000
31022022221222220200
4132031331023320
52014241144333
6122150122200
715364134063
oct3615751370
91268858820
10506974968
112401a0885
12121950360
1381057ab6
144b48d8da
152e794c13
hex1e37d2f8

506974968 has 24 divisors (see below), whose sum is σ = 1373057400. Its totient is φ = 168991632.

The previous prime is 506974957. The next prime is 506975011. The reversal of 506974968 is 869479605.

506974968 is a `hidden beast` number, since 506 + 9 + 74 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3520588 + ... + 3520731.

It is an arithmetic number, because the mean of its divisors is an integer number (57210725).

Almost surely, 2506974968 is an apocalyptic number.

It is an amenable number.

506974968 is an abundant number, since it is smaller than the sum of its proper divisors (866082432).

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

506974968 is a wasteful number, since it uses less digits than its factorization.

506974968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7041331 (or 7041324 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 506974968 is about 22516.1046364597. The cubic root of 506974968 is about 797.3741866431.

The spelling of 506974968 in words is "five hundred six million, nine hundred seventy-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 7041319 14082638 21123957 28165276 42247914 56330552 63371871 84495828 126743742 168991656 253487484 506974968