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92040672 = 2531815297
BaseRepresentation
bin1010111110001…
…10110111100000
320102012011001210
411133012313200
5142030300142
613044430120
72165222103
oct537066740
9212164053
1092040672
1147a55579
12269a8340
13160b7a49
14c31c73a
15813149c
hex57c6de0

92040672 has 48 divisors (see below), whose sum is σ = 242987472. Its totient is φ = 30504960.

The previous prime is 92040661. The next prime is 92040673. The reversal of 92040672 is 27604029.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×920406723 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92040673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14728 + ... + 20024.

It is an arithmetic number, because the mean of its divisors is an integer number (5062239).

Almost surely, 292040672 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 92040672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121493736).

92040672 is an abundant number, since it is smaller than the sum of its proper divisors (150946800).

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

92040672 is a wasteful number, since it uses less digits than its factorization.

92040672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5491 (or 5483 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 92040672 is about 9593.7829869140. The cubic root of 92040672 is about 451.5022583646.

The spelling of 92040672 in words is "ninety-two million, forty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 181 362 543 724 1086 1448 2172 2896 4344 5297 5792 8688 10594 15891 17376 21188 31782 42376 63564 84752 127128 169504 254256 508512 958757 1917514 2876271 3835028 5752542 7670056 11505084 15340112 23010168 30680224 46020336 92040672