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513802494 = 2333129901
BaseRepresentation
bin11110101000000…
…000000011111110
31022210210212112000
4132220000003332
52023013134434
6122552323130
715506151312
oct3650000376
91283725460
10513802494
11244034467
121240a34a6
13825a865a
144c349b42
1530192b99
hex1ea000fe

513802494 has 48 divisors (see below), whose sum is σ = 1179922320. Its totient is φ = 165726000.

The previous prime is 513802423. The next prime is 513802517. The reversal of 513802494 is 494208315.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46944 + ... + 56844.

It is an arithmetic number, because the mean of its divisors is an integer number (24581715).

Almost surely, 2513802494 is an apocalyptic number.

513802494 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 513802494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589961160).

513802494 is an abundant number, since it is smaller than the sum of its proper divisors (666119826).

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

513802494 is a wasteful number, since it uses less digits than its factorization.

513802494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9974 (or 9937 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 513802494 is about 22667.2118708940. The cubic root of 513802494 is about 800.9376994286.

The spelling of 513802494 in words is "five hundred thirteen million, eight hundred two thousand, four hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 961 1674 1922 2883 5766 8649 9901 17298 19802 25947 29703 51894 59406 89109 178218 267327 306931 534654 613862 920793 1841586 2762379 5524758 8287137 9514861 16574274 19029722 28544583 57089166 85633749 171267498 256901247 513802494