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513392390 = 25737198221
BaseRepresentation
bin11110100110011…
…011111100000110
31022210001000221222
4132212123330012
52022412024030
6122535440342
715502522550
oct3646337406
91283030858
10513392390
11243884335
12123b260b2
1382493aa4
144c2804d0
15301113e5
hex1e99bf06

513392390 has 32 divisors (see below), whose sum is σ = 1084670784. Its totient is φ = 171262080.

The previous prime is 513392387. The next prime is 513392431. The reversal of 513392390 is 93293315.

It is a happy number.

It is a super-2 number, since 2×5133923902 = 527143492219824200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 513392390.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96521 + ... + 101700.

It is an arithmetic number, because the mean of its divisors is an integer number (33895962).

Almost surely, 2513392390 is an apocalyptic number.

513392390 is an abundant number, since it is smaller than the sum of its proper divisors (571278394).

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

513392390 is a wasteful number, since it uses less digits than its factorization.

513392390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198272.

The product of its (nonzero) digits is 21870, while the sum is 35.

The square root of 513392390 is about 22658.1638708877. The cubic root of 513392390 is about 800.7245467170.

The spelling of 513392390 in words is "five hundred thirteen million, three hundred ninety-two thousand, three hundred ninety".

Divisors: 1 2 5 7 10 14 35 37 70 74 185 259 370 518 1295 2590 198221 396442 991105 1387547 1982210 2775094 6937735 7334177 13875470 14668354 36670885 51339239 73341770 102678478 256696195 513392390