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506010834 = 23371338653
BaseRepresentation
bin11110001010010…
…001110011010010
31022021011000101000
4132022101303102
52014014321314
6122113322430
715353010150
oct3612216322
91267130330
10506010834
1123a6a247a
12121566416
1380aaacc4
144b2bc3d0
152e654209
hex1e291cd2

506010834 has 32 divisors (see below), whose sum is σ = 1285107840. Its totient is φ = 144574416.

The previous prime is 506010781. The next prime is 506010847. The reversal of 506010834 is 438010605.

506010834 is a `hidden beast` number, since 50 + 601 + 0 + 8 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 506010798 and 506010807.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 668949 + ... + 669704.

It is an arithmetic number, because the mean of its divisors is an integer number (40159620).

Almost surely, 2506010834 is an apocalyptic number.

506010834 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

506010834 is an abundant number, since it is smaller than the sum of its proper divisors (779097006).

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

506010834 is a wasteful number, since it uses less digits than its factorization.

506010834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338671 (or 1338665 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 506010834 is about 22494.6845721384. The cubic root of 506010834 is about 796.8684000561.

The spelling of 506010834 in words is "five hundred six million, ten thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 1338653 2677306 4015959 8031918 9370571 12047877 18741142 24095754 28111713 36143631 56223426 72287262 84335139 168670278 253005417 506010834