Search a number
-
+
92053632 = 27311193137
BaseRepresentation
bin1010111110010…
…10000010000000
320102012210211210
411133022002000
5142031204012
613045010120
72165304636
oct537120200
9212183753
1092053632
1147a64290
12269b3940
13160c0908
14c323356
15813523c
hex57ca080

92053632 has 256 divisors, whose sum is σ = 297676800. Its totient is φ = 24883200.

The previous prime is 92053631. The next prime is 92053673. The reversal of 92053632 is 23635029.

It is a self number, because there is not a number n which added to its sum of digits gives 92053632.

It is not an unprimeable number, because it can be changed into a prime (92053631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2487918 + ... + 2487954.

It is an arithmetic number, because the mean of its divisors is an integer number (1162800).

Almost surely, 292053632 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 92053632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148838400).

92053632 is an abundant number, since it is smaller than the sum of its proper divisors (205623168).

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

92053632 is a wasteful number, since it uses less digits than its factorization.

92053632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 92053632 is about 9594.4584005560. The cubic root of 92053632 is about 451.5234489771.

The spelling of 92053632 in words is "ninety-two million, fifty-three thousand, six hundred thirty-two".