Search a number
-
+
92272092 = 2231147107139
BaseRepresentation
bin1010111111111…
…11010111011100
320102121220111220
411133333113130
5142110201332
613053413340
72200204563
oct537772734
9212556456
1092272092
11480a3430
1226a9a250
1316169193
14c37cbda
158179d2c
hex57ff5dc

92272092 has 96 divisors (see below), whose sum is σ = 243855360. Its totient is φ = 26915520.

The previous prime is 92272069. The next prime is 92272133. The reversal of 92272092 is 29027229.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 663759 + ... + 663897.

It is an arithmetic number, because the mean of its divisors is an integer number (2540160).

Almost surely, 292272092 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 92272092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121927680).

92272092 is an abundant number, since it is smaller than the sum of its proper divisors (151583268).

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

92272092 is a wasteful number, since it uses less digits than its factorization.

92272092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 92272092 is about 9605.8363508859. The cubic root of 92272092 is about 451.8803491999.

The spelling of 92272092 in words is "ninety-two million, two hundred seventy-two thousand, ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 107 132 139 141 188 214 278 282 321 417 428 517 556 564 642 834 1034 1177 1284 1529 1551 1668 2068 2354 3058 3102 3531 4587 4708 5029 6116 6204 6533 7062 9174 10058 13066 14124 14873 15087 18348 19599 20116 26132 29746 30174 39198 44619 55319 59492 60348 71863 78396 89238 110638 143726 163603 165957 178476 215589 221276 287452 327206 331914 431178 490809 654412 663828 699031 862356 981618 1398062 1963236 2097093 2796124 4194186 7689341 8388372 15378682 23068023 30757364 46136046 92272092