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509104368 = 24323535447
BaseRepresentation
bin11110010110000…
…101000011110000
31022110222011220100
4132112011003300
52020312314433
6122303512400
715421213203
oct3626050360
91273864810
10509104368
11241415713
121225b8700
13816220b6
144b88593a
152ea65b13
hex1e5850f0

509104368 has 30 divisors (see below), whose sum is σ = 1424785544. Its totient is φ = 169701408.

The previous prime is 509104331. The next prime is 509104381. The reversal of 509104368 is 863401905.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 5 ways as a sum of consecutive naturals, for example, 1767580 + ... + 1767867.

Almost surely, 2509104368 is an apocalyptic number.

It is an amenable number.

509104368 is an abundant number, since it is smaller than the sum of its proper divisors (915681176).

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

509104368 is a wasteful number, since it uses less digits than its factorization.

509104368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3535461 (or 3535452 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 509104368 is about 22563.3412419349. The cubic root of 509104368 is about 798.4890062524.

It can be divided in two parts, 50910 and 4368, that added together give a triangular number (55278 = T332).

The spelling of 509104368 in words is "five hundred nine million, one hundred four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3535447 7070894 10606341 14141788 21212682 28283576 31819023 42425364 56567152 63638046 84850728 127276092 169701456 254552184 509104368