Search a number
-
+
92381064 = 233231011657
BaseRepresentation
bin1011000000110…
…01111110001000
320102211102222220
411200121332020
5142122143224
613100014040
72201140356
oct540317610
9212742886
1092381064
1148168296
1226b31320
13161a6969
14c3aa7d6
15819c279
hex5819f88

92381064 has 64 divisors (see below), whose sum is σ = 243527040. Its totient is φ = 29145600.

The previous prime is 92381063. The next prime is 92381083. The reversal of 92381064 is 46018329.

It is not an unprimeable number, because it can be changed into a prime (92381063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54924 + ... + 56580.

It is an arithmetic number, because the mean of its divisors is an integer number (3805110).

Almost surely, 292381064 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 92381064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121763520).

92381064 is an abundant number, since it is smaller than the sum of its proper divisors (151145976).

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

92381064 is a wasteful number, since it uses less digits than its factorization.

92381064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 92381064 is about 9611.5068537665. The cubic root of 92381064 is about 452.0581672603.

The spelling of 92381064 in words is "ninety-two million, three hundred eighty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 101 138 184 202 276 303 404 552 606 808 1212 1657 2323 2424 3314 4646 4971 6628 6969 9292 9942 13256 13938 18584 19884 27876 38111 39768 55752 76222 114333 152444 167357 228666 304888 334714 457332 502071 669428 914664 1004142 1338856 2008284 3849211 4016568 7698422 11547633 15396844 23095266 30793688 46190532 92381064