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252158088 = 233713263439
BaseRepresentation
bin11110000011110…
…10000010001000
3122120110221212110
433001322002020
51004023024323
641004342320
76151210530
oct1701720210
9576427773
10252158088
1111a378116
12705449a0
1340319a90
14256bc4c0
151720d793
hexf07a088

252158088 has 128 divisors (see below), whose sum is σ = 780595200. Its totient is φ = 66099456.

The previous prime is 252158041. The next prime is 252158099. The reversal of 252158088 is 880851252.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 574173 + ... + 574611.

It is an arithmetic number, because the mean of its divisors is an integer number (6098400).

Almost surely, 2252158088 is an apocalyptic number.

252158088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252158088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390297600).

252158088 is an abundant number, since it is smaller than the sum of its proper divisors (528437112).

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

252158088 is a wasteful number, since it uses less digits than its factorization.

252158088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 39.

The square root of 252158088 is about 15879.4863896790. The cubic root of 252158088 is about 631.7680142528.

The spelling of 252158088 in words is "two hundred fifty-two million, one hundred fifty-eight thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 263 273 312 364 439 526 546 728 789 878 1052 1092 1317 1578 1756 1841 2104 2184 2634 3073 3156 3419 3512 3682 5268 5523 5707 6146 6312 6838 7364 9219 10257 10536 11046 11414 12292 13676 14728 17121 18438 20514 22092 22828 23933 24584 27352 34242 36876 39949 41028 44184 45656 47866 68484 71799 73752 79898 82056 95732 115457 119847 136968 143598 159796 191464 230914 239694 287196 319592 346371 461828 479388 574392 692742 808199 923656 958776 1385484 1500941 1616398 2424597 2770968 3001882 3232796 4502823 4849194 6003764 6465592 9005646 9698388 10506587 12007528 18011292 19396776 21013174 31519761 36022584 42026348 63039522 84052696 126079044 252158088