Search a number
-
+
92380512 = 25372343139
BaseRepresentation
bin1011000000110…
…01110101100000
320102211102020110
411200121311200
5142122134022
613100011320
72201135640
oct540316540
9212742213
1092380512
1148167934
1226b30b40
13161a6633
14c3aa520
15819c00c
hex5819d60

92380512 has 192 divisors, whose sum is σ = 298045440. Its totient is φ = 24482304.

The previous prime is 92380507. The next prime is 92380513. The reversal of 92380512 is 21508329.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 92380512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92380513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 664539 + ... + 664677.

It is an arithmetic number, because the mean of its divisors is an integer number (1552320).

Almost surely, 292380512 is an apocalyptic number.

92380512 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92380512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149022720).

92380512 is an abundant number, since it is smaller than the sum of its proper divisors (205664928).

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

92380512 is a wasteful number, since it uses less digits than its factorization.

92380512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 92380512 is about 9611.4781381430. The cubic root of 92380512 is about 452.0572668716.

The spelling of 92380512 in words is "ninety-two million, three hundred eighty thousand, five hundred twelve".