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92134880 = 2551793217
BaseRepresentation
bin1010111110111…
…01110111100000
320102100221021222
411133131313200
5142041304010
613050434212
72166063545
oct537356740
9212327258
1092134880
114800a332
1226a32968
131611b8a6
14c344bcc
15814e355
hex57ddde0

92134880 has 48 divisors (see below), whose sum is σ = 218952720. Its totient is φ = 36636672.

The previous prime is 92134871. The next prime is 92134901. The reversal of 92134880 is 8843129.

It is a happy number.

It is a super-2 number, since 2×921348802 = 16977672225228800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 92134880.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27032 + ... + 30248.

It is an arithmetic number, because the mean of its divisors is an integer number (4561515).

Almost surely, 292134880 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 92134880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109476360).

92134880 is an abundant number, since it is smaller than the sum of its proper divisors (126817840).

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

92134880 is a wasteful number, since it uses less digits than its factorization.

92134880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3411 (or 3403 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 92134880 is about 9598.6915775016. The cubic root of 92134880 is about 451.6562505068.

The spelling of 92134880 in words is "ninety-two million, one hundred thirty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 179 358 716 895 1432 1790 2864 3217 3580 5728 6434 7160 12868 14320 16085 25736 28640 32170 51472 64340 102944 128680 257360 514720 575843 1151686 2303372 2879215 4606744 5758430 9213488 11516860 18426976 23033720 46067440 92134880