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52858008 = 2334743271
BaseRepresentation
bin1100100110100…
…0110010011000
310200110110120000
43021220302120
5102012424013
65124533000
71211166660
oct311506230
9120413500
1052858008
1127923005
1215851160
13ac49238
14703d1a0
154991973
hex3268c98

52858008 has 160 divisors (see below), whose sum is σ = 173775360. Its totient is φ = 14696640.

The previous prime is 52857977. The next prime is 52858021. The reversal of 52858008 is 80085825.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 194913 + ... + 195183.

It is an arithmetic number, because the mean of its divisors is an integer number (1086096).

Almost surely, 252858008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52858008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86887680).

52858008 is an abundant number, since it is smaller than the sum of its proper divisors (120917352).

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

52858008 is a wasteful number, since it uses less digits than its factorization.

52858008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 52858008 is about 7270.3512982524. The cubic root of 52858008 is about 375.2928272796.

The spelling of 52858008 in words is "fifty-two million, eight hundred fifty-eight thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 43 54 56 63 72 81 84 86 108 126 129 162 168 172 189 216 252 258 271 301 324 344 378 387 504 516 542 567 602 648 756 774 813 903 1032 1084 1134 1161 1204 1512 1548 1626 1806 1897 2168 2268 2322 2408 2439 2709 3096 3252 3483 3612 3794 4536 4644 4878 5418 5691 6504 6966 7224 7317 7588 8127 9288 9756 10836 11382 11653 13932 14634 15176 16254 17073 19512 21672 21951 22764 23306 24381 27864 29268 32508 34146 34959 43902 45528 46612 48762 51219 58536 65016 68292 69918 81571 87804 93224 97524 102438 104877 136584 139836 153657 163142 175608 195048 204876 209754 244713 279672 307314 314631 326284 409752 419508 489426 614628 629262 652568 734139 839016 943893 978852 1229256 1258524 1468278 1887786 1957704 2202417 2517048 2936556 3775572 4404834 5873112 6607251 7551144 8809668 13214502 17619336 26429004 52858008