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508074042 = 23724783443
BaseRepresentation
bin11110010010001…
…001100000111010
31022102000211120010
4132102021200322
52020031332132
6122225442350
715406362300
oct3622114072
91272024503
10508074042
11240881603
121221a03b6
1381351138
144b698270
152e9106cc
hex1e48983a

508074042 has 96 divisors (see below), whose sum is σ = 1224502272. Its totient is φ = 140046816.

The previous prime is 508074037. The next prime is 508074101. The reversal of 508074042 is 240470805.

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 47 ways as a sum of consecutive naturals, for example, 1146673 + ... + 1147115.

It is an arithmetic number, because the mean of its divisors is an integer number (12755232).

Almost surely, 2508074042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508074042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612251136).

508074042 is an abundant number, since it is smaller than the sum of its proper divisors (716428230).

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

508074042 is a wasteful number, since it uses less digits than its factorization.

508074042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 508074042 is about 22540.4978205895. The cubic root of 508074042 is about 797.9499814756.

The spelling of 508074042 in words is "five hundred eight million, seventy-four thousand, forty-two".

Divisors: 1 2 3 6 7 14 21 42 47 49 83 94 98 141 147 166 249 282 294 329 443 498 581 658 886 987 1162 1329 1743 1974 2303 2658 3101 3486 3901 4067 4606 6202 6909 7802 8134 9303 11703 12201 13818 18606 20821 21707 23406 24402 27307 36769 41642 43414 54614 62463 65121 73538 81921 110307 124926 130242 145747 163842 191149 220614 257383 291494 382298 437241 514766 573447 772149 874482 1020229 1146894 1544298 1728143 1801681 2040458 3060687 3456286 3603362 5184429 5405043 6121374 10368858 10810086 12097001 24194002 36291003 72582006 84679007 169358014 254037021 508074042