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516457242 = 23371366289
BaseRepresentation
bin11110110010001…
…000001100011010
31022222210202011000
4132302020030122
52024203112432
6123125245430
715540546150
oct3662101432
91288722130
10516457242
11245587a74
12124b63876
1382cc7b02
144c83b3d0
153051957c
hex1ec8831a

516457242 has 32 divisors (see below), whose sum is σ = 1311638400. Its totient is φ = 147559104.

The previous prime is 516457231. The next prime is 516457247. The reversal of 516457242 is 242754615.

It is a happy number.

516457242 is a `hidden beast` number, since 5 + 1 + 645 + 7 + 2 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 516457197 and 516457206.

It is not an unprimeable number, because it can be changed into a prime (516457247) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 682767 + ... + 683522.

It is an arithmetic number, because the mean of its divisors is an integer number (40988700).

Almost surely, 2516457242 is an apocalyptic number.

516457242 is an abundant number, since it is smaller than the sum of its proper divisors (795181158).

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

516457242 is a wasteful number, since it uses less digits than its factorization.

516457242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366307 (or 1366301 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 516457242 is about 22725.6956329174. The cubic root of 516457242 is about 802.3147760134.

The spelling of 516457242 in words is "five hundred sixteen million, four hundred fifty-seven thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 1366289 2732578 4098867 8197734 9564023 12296601 19128046 24593202 28692069 36889803 57384138 73779606 86076207 172152414 258228621 516457242