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92168442 = 235199953
BaseRepresentation
bin1010111111001…
…10000011111010
320102102122100000
411133212003322
5142043342232
613051253430
72166263442
oct537460372
9212378300
1092168442
1148032573
1226a4a276
1316130c52
14c353122
15815927c
hex57e60fa

92168442 has 48 divisors (see below), whose sum is σ = 208353600. Its totient is φ = 30536352.

The previous prime is 92168389. The next prime is 92168471. The reversal of 92168442 is 24486129.

It is a junction number, because it is equal to n+sod(n) for n = 92168397 and 92168406.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96238 + ... + 97190.

It is an arithmetic number, because the mean of its divisors is an integer number (4340700).

Almost surely, 292168442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92168442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104176800).

92168442 is an abundant number, since it is smaller than the sum of its proper divisors (116185158).

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

92168442 is a wasteful number, since it uses less digits than its factorization.

92168442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1157 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 92168442 is about 9600.4396774314. The cubic root of 92168442 is about 451.7110855011.

The spelling of 92168442 in words is "ninety-two million, one hundred sixty-eight thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 199 243 398 486 597 953 1194 1791 1906 2859 3582 5373 5718 8577 10746 16119 17154 25731 32238 48357 51462 77193 96714 154386 189647 231579 379294 463158 568941 1137882 1706823 3413646 5120469 10240938 15361407 30722814 46084221 92168442