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4192493046 = 2371710754877
BaseRepresentation
bin1111100111100100…
…0101110111110110
3101211011220201021020
43321321011313312
532041234234141
61532003402010
7205615413540
oct37171056766
911734821236
104192493046
11186160a095
12990083306
1351a77ab21
142bab40690
151980ea266
hexf9e45df6

4192493046 has 64 divisors (see below), whose sum is σ = 10241551872. Its totient is φ = 1116836352.

The previous prime is 4192493033. The next prime is 4192493047. The reversal of 4192493046 is 6403942914.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4192492989 and 4192493007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4192493047) 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, 48960 + ... + 103836.

It is an arithmetic number, because the mean of its divisors is an integer number (160024248).

Almost surely, 24192493046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4192493046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5120775936).

4192493046 is an abundant number, since it is smaller than the sum of its proper divisors (6049058826).

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

4192493046 is a wasteful number, since it uses less digits than its factorization.

4192493046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55013.

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 4192493046 is about 64749.4636734545. The cubic root of 4192493046 is about 1612.4668080903.

The spelling of 4192493046 in words is "four billion, one hundred ninety-two million, four hundred ninety-three thousand, forty-six".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 107 119 214 238 321 357 642 714 749 1498 1819 2247 3638 4494 5457 10914 12733 25466 38199 54877 76398 109754 164631 329262 384139 768278 932909 1152417 1865818 2304834 2798727 5597454 5871839 6530363 11743678 13060726 17615517 19591089 35231034 39182178 41102873 82205746 99821263 123308619 199642526 246617238 299463789 598927578 698748841 1397497682 2096246523 4192493046