Search a number
-
+
192057792 = 2634721283
BaseRepresentation
bin10110111001010…
…01000111000000
3111101101112202120
423130221013000
5343131322132
631020244240
74521315153
oct1334510700
9441345676
10192057792
1199458953
12543a0680
1330a36284
141b715c9a
1511cdb02c
hexb7291c0

192057792 has 56 divisors (see below), whose sum is σ = 518989056. Its totient is φ = 62654208.

The previous prime is 192057791. The next prime is 192057799. The reversal of 192057792 is 297750291.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (192057791) 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, 1618 + ... + 19665.

Almost surely, 2192057792 is an apocalyptic number.

192057792 is a gapful number since it is divisible by the number (12) 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 192057792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259494528).

192057792 is an abundant number, since it is smaller than the sum of its proper divisors (326931264).

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

192057792 is a wasteful number, since it uses less digits than its factorization.

192057792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21345 (or 21335 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 42.

The square root of 192057792 is about 13858.4916928214. The cubic root of 192057792 is about 576.9577045992.

The spelling of 192057792 in words is "one hundred ninety-two million, fifty-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1504 2256 3008 4512 9024 21283 42566 63849 85132 127698 170264 255396 340528 510792 681056 1000301 1021584 1362112 2000602 2043168 3000903 4001204 4086336 6001806 8002408 12003612 16004816 24007224 32009632 48014448 64019264 96028896 192057792