Search a number
-
+
92442132 = 22323769401
BaseRepresentation
bin1011000001010…
…00111000010100
320102221112202200
411200220320110
5142131122012
613101204500
72201513406
oct540507024
9212845680
1092442132
11481aa162
1226b60730
13161c86b3
14c3c4b76
1581b03dc
hex5828e14

92442132 has 36 divisors (see below), whose sum is σ = 239992116. Its totient is φ = 29980800.

The previous prime is 92442127. The next prime is 92442149. The reversal of 92442132 is 23124429.

92442132 is a `hidden beast` number, since 92 + 442 + 132 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 73205136 + 19236996 = 8556^2 + 4386^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 92442096 and 92442105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33369 + ... + 36032.

Almost surely, 292442132 is an apocalyptic number.

It is an amenable number.

92442132 is an abundant number, since it is smaller than the sum of its proper divisors (147549984).

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

92442132 is a wasteful number, since it uses less digits than its factorization.

92442132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69448 (or 69443 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 92442132 is about 9614.6831461052. The cubic root of 92442132 is about 452.1577555172.

The spelling of 92442132 in words is "ninety-two million, four hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 69401 138802 208203 277604 416406 624609 832812 1249218 2498436 2567837 5135674 7703511 10271348 15407022 23110533 30814044 46221066 92442132