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509342478 = 234710131783
BaseRepresentation
bin11110010110111…
…111001100001110
31022111102021112020
4132112333030032
52020342424403
6122312551010
715423224331
oct3626771416
91274367466
10509342478
112415685a7
121226b2466
13816a65a8
144b908618
152eab1453
hex1e5bf30e

509342478 has 32 divisors (see below), whose sum is σ = 1041970176. Its totient is φ = 165911328.

The previous prime is 509342473. The next prime is 509342539. The reversal of 509342478 is 874243905.

It is a super-3 number, since 3×5093424783 (a number of 27 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509342473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284775 + ... + 286557.

It is an arithmetic number, because the mean of its divisors is an integer number (32561568).

Almost surely, 2509342478 is an apocalyptic number.

509342478 is an abundant number, since it is smaller than the sum of its proper divisors (532627698).

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

509342478 is a wasteful number, since it uses less digits than its factorization.

509342478 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2848.

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 509342478 is about 22568.6171042889. The cubic root of 509342478 is about 798.6134722727.

The spelling of 509342478 in words is "five hundred nine million, three hundred forty-two thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 47 94 141 282 1013 1783 2026 3039 3566 5349 6078 10698 47611 83801 95222 142833 167602 251403 285666 502806 1806179 3612358 5418537 10837074 84890413 169780826 254671239 509342478