Search a number
-
+
92036196 = 22337532297
BaseRepresentation
bin1010111110001…
…01110001100100
320102011220221000
411133011301210
5142030124241
613044353300
72165203050
oct537056144
9212156830
1092036196
1147a5217a
12269a5830
13160b59b5
14c31ac60
15812eeb6
hex57c5c64

92036196 has 96 divisors (see below), whose sum is σ = 277966080. Its totient is φ = 25788672.

The previous prime is 92036183. The next prime is 92036201. The reversal of 92036196 is 69163029.

It is a super-2 number, since 2×920361962 = 16941322748300832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 92036196.

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, 38920 + ... + 41216.

It is an arithmetic number, because the mean of its divisors is an integer number (2895480).

Almost surely, 292036196 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 92036196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138983040).

92036196 is an abundant number, since it is smaller than the sum of its proper divisors (185929884).

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

92036196 is a wasteful number, since it uses less digits than its factorization.

92036196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 92036196 is about 9593.5497080069. The cubic root of 92036196 is about 451.4949392927.

The spelling of 92036196 in words is "ninety-two million, thirty-six thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 53 54 63 84 106 108 126 159 189 212 252 318 371 378 477 636 742 756 954 1113 1431 1484 1908 2226 2297 2862 3339 4452 4594 5724 6678 6891 9188 10017 13356 13782 16079 20034 20673 27564 32158 40068 41346 48237 62019 64316 82692 96474 121741 124038 144711 192948 243482 248076 289422 365223 434133 486964 578844 730446 852187 868266 1095669 1460892 1704374 1736532 2191338 2556561 3287007 3408748 4382676 5113122 6574014 7669683 10226244 13148028 15339366 23009049 30678732 46018098 92036196