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514117008 = 24329973581
BaseRepresentation
bin11110101001001…
…100110110010000
31022211101211221200
4132221030312100
52023103221013
6123003151200
715511631256
oct3651146620
91284354850
10514117008
11244229799
12124215500
1382688862
144c3cc5d6
1530205e73
hex1ea4cd90

514117008 has 60 divisors (see below), whose sum is σ = 1440658908. Its totient is φ = 171152640.

The previous prime is 514117003. The next prime is 514117033. The reversal of 514117008 is 800711415.

It can be written as a sum of positive squares in 2 ways, for example, as 450627984 + 63489024 = 21228^2 + 7968^2 .

It is not an unprimeable number, because it can be changed into a prime (514117003) 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, 141778 + ... + 145358.

Almost surely, 2514117008 is an apocalyptic number.

It is an amenable number.

514117008 is an abundant number, since it is smaller than the sum of its proper divisors (926541900).

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

514117008 is a wasteful number, since it uses less digits than its factorization.

514117008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4592 (or 4583 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 514117008 is about 22674.1484514854. The cubic root of 514117008 is about 801.1010921332.

The spelling of 514117008 in words is "five hundred fourteen million, one hundred seventeen thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 997 1994 2991 3581 3988 5982 7162 7976 8973 10743 11964 14324 15952 17946 21486 23928 28648 32229 35892 42972 47856 57296 64458 71784 85944 128916 143568 171888 257832 515664 3570257 7140514 10710771 14281028 21421542 28562056 32132313 42843084 57124112 64264626 85686168 128529252 171372336 257058504 514117008