Search a number
-
+
92242052 = 22723433331
BaseRepresentation
bin1010111111110…
…00000010000100
320102120101022022
411133320002010
5142103221202
613053022312
72200021160
oct537700204
9212511268
1092242052
1148082901
1226a84998
13161585c6
14c371ca0
158170ea2
hex57f8084

92242052 has 48 divisors (see below), whose sum is σ = 197041152. Its totient is φ = 36923040.

The previous prime is 92242037. The next prime is 92242057. The reversal of 92242052 is 25024229.

It is not an unprimeable number, because it can be changed into a prime (92242057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26027 + ... + 29357.

It is an arithmetic number, because the mean of its divisors is an integer number (4105024).

Almost surely, 292242052 is an apocalyptic number.

92242052 is a gapful number since it is divisible by the number (92) 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 92242052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98520576).

92242052 is an abundant number, since it is smaller than the sum of its proper divisors (104799100).

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

92242052 is a wasteful number, since it uses less digits than its factorization.

92242052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3408 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 92242052 is about 9604.2725908837. The cubic root of 92242052 is about 451.8313059888.

The spelling of 92242052 in words is "ninety-two million, two hundred forty-two thousand, fifty-two".

Divisors: 1 2 4 7 14 23 28 43 46 86 92 161 172 301 322 602 644 989 1204 1978 3331 3956 6662 6923 13324 13846 23317 27692 46634 76613 93268 143233 153226 286466 306452 536291 572932 1002631 1072582 2005262 2145164 3294359 4010524 6588718 13177436 23060513 46121026 92242052