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83158152 = 233711172647
BaseRepresentation
bin1001111010011…
…10010010001000
312210110212112120
410331032102020
5132242030102
612130211240
72026555410
oct475162210
9183425476
1083158152
1142a38a50
1223a23b20
13142c7a0c
14b089640
1574796bc
hex4f4e488

83158152 has 128 divisors (see below), whose sum is σ = 274544640. Its totient is φ = 20321280.

The previous prime is 83158147. The next prime is 83158157. The reversal of 83158152 is 25185138.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (83158147) and next prime (83158157).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (83158157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30093 + ... + 32739.

It is an arithmetic number, because the mean of its divisors is an integer number (2144880).

Almost surely, 283158152 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 83158152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137272320).

83158152 is an abundant number, since it is smaller than the sum of its proper divisors (191386488).

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

83158152 is a wasteful number, since it uses less digits than its factorization.

83158152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2691 (or 2687 counting only the distinct ones).

The product of its digits is 9600, while the sum is 33.

The square root of 83158152 is about 9119.1091670185. The cubic root of 83158152 is about 436.4839476652.

The spelling of 83158152 in words is "eighty-three million, one hundred fifty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 17 21 22 24 28 33 34 42 44 51 56 66 68 77 84 88 102 119 132 136 154 168 187 204 231 238 264 308 357 374 408 462 476 561 616 714 748 924 952 1122 1309 1428 1496 1848 2244 2618 2647 2856 3927 4488 5236 5294 7854 7941 10472 10588 15708 15882 18529 21176 29117 31416 31764 37058 44999 55587 58234 63528 74116 87351 89998 111174 116468 134997 148232 174702 179996 203819 222348 232936 269994 314993 349404 359992 407638 444696 494989 539988 611457 629986 698808 815276 944979 989978 1079976 1222914 1259972 1484967 1630552 1889958 1979956 2445828 2519944 2969934 3464923 3779916 3959912 4891656 5939868 6929846 7559832 10394769 11879736 13859692 20789538 27719384 41579076 83158152