Search a number
-
+
92046834 = 23311831867
BaseRepresentation
bin1010111110010…
…00010111110010
320102012110112000
411133020113302
5142030444314
613044514430
72165246055
oct537102762
9212173460
1092046834
1147a5a170
12269aba16
13160ba7a9
14c320a9c
158133209
hex57c85f2

92046834 has 64 divisors (see below), whose sum is σ = 225953280. Its totient is φ = 27542160.

The previous prime is 92046833. The next prime is 92046839. The reversal of 92046834 is 43864029.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (92046833) 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, 48369 + ... + 50235.

It is an arithmetic number, because the mean of its divisors is an integer number (3530520).

Almost surely, 292046834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92046834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112976640).

92046834 is an abundant number, since it is smaller than the sum of its proper divisors (133906446).

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

92046834 is a wasteful number, since it uses less digits than its factorization.

92046834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 92046834 is about 9594.1041270147. The cubic root of 92046834 is about 451.5123339640.

The spelling of 92046834 in words is "ninety-two million, forty-six thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 83 99 166 198 249 297 498 594 747 913 1494 1826 1867 2241 2739 3734 4482 5478 5601 8217 11202 16434 16803 20537 24651 33606 41074 49302 50409 61611 100818 123222 154961 184833 309922 369666 464883 554499 929766 1108998 1394649 1704571 2789298 3409142 4183947 5113713 8367894 10227426 15341139 30682278 46023417 92046834