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501975968 = 2513292821
BaseRepresentation
bin11101111010111…
…000101110100000
31021222120000120112
4131322320232200
52012001212333
6121451030452
715303503534
oct3572705640
91258500515
10501975968
11238396a7a
1212013b428
137ccc7600
144a94bbc4
152e108948
hex1deb8ba0

501975968 has 36 divisors (see below), whose sum is σ = 1070144838. Its totient is φ = 231678720.

The previous prime is 501975967. The next prime is 501975973. The reversal of 501975968 is 869579105.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 272514064 + 229461904 = 16508^2 + 15148^2 .

It is not an unprimeable number, because it can be changed into a prime (501975967) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41003 + ... + 51818.

Almost surely, 2501975968 is an apocalyptic number.

It is an amenable number.

501975968 is an abundant number, since it is smaller than the sum of its proper divisors (568168870).

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

501975968 is a wasteful number, since it uses less digits than its factorization.

501975968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92857 (or 92836 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 50.

The square root of 501975968 is about 22404.8201956633. The cubic root of 501975968 is about 794.7447029102.

It can be divided in two parts, 50197 and 5968, that added together give a palindrome (56165).

The spelling of 501975968 in words is "five hundred one million, nine hundred seventy-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2704 5408 92821 185642 371284 742568 1206673 1485136 2413346 2970272 4826692 9653384 15686749 19306768 31373498 38613536 62746996 125493992 250987984 501975968