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92181042 = 232312732
BaseRepresentation
bin1010111111010…
…01001000110010
320102110021121200
411133221020302
5142044243132
613051432030
72166345252
oct537511062
9212407550
1092181042
1148040a88
1226a55616
13161368c5
14c357962
15815cd7c
hex57e9232

92181042 has 54 divisors (see below), whose sum is σ = 209241981. Its totient is φ = 29328480.

The previous prime is 92181041. The next prime is 92181043. The reversal of 92181042 is 24018129.

It is an interprime number because it is at equal distance from previous prime (92181041) and next prime (92181043).

It can be written as a sum of positive squares in 2 ways, for example, as 91757241 + 423801 = 9579^2 + 651^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=6789.

It is a junction number, because it is equal to n+sod(n) for n = 92180997 and 92181015.

It is not an unprimeable number, because it can be changed into a prime (92181041) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1262718 + ... + 1262790.

Almost surely, 292181042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92181042

92181042 is an abundant number, since it is smaller than the sum of its proper divisors (117060939).

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

92181042 is a wasteful number, since it uses less digits than its factorization.

92181042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 92181042 is about 9601.0958749509. The cubic root of 92181042 is about 451.7316684693.

Multiplying 92181042 by its product of nonzero digits (1152), we get a square (106192560384 = 3258722).

The spelling of 92181042 in words is "ninety-two million, one hundred eighty-one thousand, forty-two".

Divisors: 1 2 3 6 9 18 31 62 73 93 146 186 219 279 438 558 657 961 1314 1922 2263 2883 4526 5329 5766 6789 8649 10658 13578 15987 17298 20367 31974 40734 47961 70153 95922 140306 165199 210459 330398 420918 495597 631377 991194 1262754 1486791 2973582 5121169 10242338 15363507 30727014 46090521 92181042