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92194128 = 243213172897
BaseRepresentation
bin1010111111011…
…00010101010000
320102110221120100
411133230111100
5142100203003
613052012400
72166431355
oct537542520
9212427510
1092194128
114804a8a4
1226a61100
131613c850
14c35c62c
158161ba3
hex57ec550

92194128 has 120 divisors (see below), whose sum is σ = 294309288. Its totient is φ = 26689536.

The previous prime is 92194127. The next prime is 92194153. The reversal of 92194128 is 82149129.

It can be written as a sum of positive squares in 4 ways, for example, as 1411344 + 90782784 = 1188^2 + 9528^2 .

It is a Harshad number since it is a multiple of its sum of digits (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 = 92194092 and 92194101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92194127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30376 + ... + 33272.

Almost surely, 292194128 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 92194128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147154644).

92194128 is an abundant number, since it is smaller than the sum of its proper divisors (202115160).

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

92194128 is a wasteful number, since it uses less digits than its factorization.

92194128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2941 (or 2932 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 92194128 is about 9601.7773354728. Note that the first 3 decimals coincide. The cubic root of 92194128 is about 451.7530433666.

The spelling of 92194128 in words is "ninety-two million, one hundred ninety-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 34 36 39 48 51 52 68 72 78 102 104 117 136 144 153 156 204 208 221 234 272 306 312 408 442 468 612 624 663 816 884 936 1224 1326 1768 1872 1989 2448 2652 2897 3536 3978 5304 5794 7956 8691 10608 11588 15912 17382 23176 26073 31824 34764 37661 46352 49249 52146 69528 75322 98498 104292 112983 139056 147747 150644 196996 208584 225966 295494 301288 338949 393992 417168 443241 451932 590988 602576 640237 677898 787984 886482 903864 1181976 1280474 1355796 1772964 1807728 1920711 2363952 2560948 2711592 3545928 3841422 5121896 5423184 5762133 7091856 7682844 10243792 11524266 15365688 23048532 30731376 46097064 92194128