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513314152 = 231329170197
BaseRepresentation
bin11110100110001…
…000110101101000
31022202220001122021
4132212020311220
52022402023102
6122534034224
715502045501
oct3646106550
91282801567
10513314152
1124383057a
12123aa8974
13824672b0
144c25dba8
15300e8137
hex1e988d68

513314152 has 32 divisors (see below), whose sum is σ = 1072247400. Its totient is φ = 228743424.

The previous prime is 513314149. The next prime is 513314159. The reversal of 513314152 is 251413315.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 464230116 + 49084036 = 21546^2 + 7006^2 .

It is not an unprimeable number, because it can be changed into a prime (513314159) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82083 + ... + 88114.

Almost surely, 2513314152 is an apocalyptic number.

513314152 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

513314152 is an abundant number, since it is smaller than the sum of its proper divisors (558933248).

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

513314152 is a wasteful number, since it uses less digits than its factorization.

513314152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170245 (or 170241 counting only the distinct ones).

The product of its digits is 1800, while the sum is 25.

The square root of 513314152 is about 22656.4373192256. The cubic root of 513314152 is about 800.6838694034.

Adding to 513314152 its reverse (251413315), we get a palindrome (764727467).

The spelling of 513314152 in words is "five hundred thirteen million, three hundred fourteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 232 377 754 1508 3016 170197 340394 680788 1361576 2212561 4425122 4935713 8850244 9871426 17700488 19742852 39485704 64164269 128328538 256657076 513314152