Search a number
-
+
392816934 = 232312692617
BaseRepresentation
bin10111011010011…
…110100100100110
31000101011011112100
4113122132210212
51301030120214
6102551232530
712506613606
oct2732364446
91011134470
10392816934
1119180a1a4
12ab678746
13634c7c73
143a254c06
1524745309
hex1769e926

392816934 has 48 divisors (see below), whose sum is σ = 882161280. Its totient is φ = 126195840.

The previous prime is 392816873. The next prime is 392816951. The reversal of 392816934 is 439618293.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 392816934.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148794 + ... + 151410.

It is an arithmetic number, because the mean of its divisors is an integer number (18378360).

Almost surely, 2392816934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 392816934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441080640).

392816934 is an abundant number, since it is smaller than the sum of its proper divisors (489344346).

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

392816934 is a wasteful number, since it uses less digits than its factorization.

392816934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2925 (or 2922 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 392816934 is about 19819.6098347066. The cubic root of 392816934 is about 732.3691925135.

The spelling of 392816934 in words is "three hundred ninety-two million, eight hundred sixteen thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 18 31 62 93 186 269 279 538 558 807 1614 2421 2617 4842 5234 7851 8339 15702 16678 23553 25017 47106 50034 75051 81127 150102 162254 243381 486762 703973 730143 1407946 1460286 2111919 4223838 6335757 12671514 21823163 43646326 65469489 130938978 196408467 392816934