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506342416 = 24178812113
BaseRepresentation
bin11110001011100…
…010110000010000
31022021202212012211
4132023202300100
52014110424131
6122124401504
715355560646
oct3613426020
91267685184
10506342416
1123a8a9608
121216a6294
1380b95bc8
144b367196
152e6bc5b1
hex1e2e2c10

506342416 has 40 divisors (see below), whose sum is σ = 1040417784. Its totient is φ = 237895680.

The previous prime is 506342377. The next prime is 506342429. The reversal of 506342416 is 614243605.

It can be written as a sum of positive squares in 4 ways, for example, as 92416 + 506250000 = 304^2 + 22500^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 238576 + ... + 240688.

Almost surely, 2506342416 is an apocalyptic number.

It is an amenable number.

506342416 is an abundant number, since it is smaller than the sum of its proper divisors (534075368).

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

506342416 is a wasteful number, since it uses less digits than its factorization.

506342416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3019 (or 3013 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 506342416 is about 22502.0535951722. The cubic root of 506342416 is about 797.0424210495.

The spelling of 506342416 in words is "five hundred six million, three hundred forty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 34 68 136 272 881 1762 2113 3524 4226 7048 8452 14096 14977 16904 29954 33808 35921 59908 71842 119816 143684 239632 287368 574736 1861553 3723106 7446212 14892424 29784848 31646401 63292802 126585604 253171208 506342416