Search a number
-
+
4992480126 = 2323110878231
BaseRepresentation
bin1001010011001001…
…10011001101111110
3110212221020021020100
410221210303031332
540211033331001
62143222101530
7234501244434
oct45144631576
913787207210
104992480126
112132141237
12b73b7a8a6
13617427b6a
143550a4d54
151e346d586
hex12993337e

4992480126 has 48 divisors (see below), whose sum is σ = 11177607168. Its totient is φ = 1608800400.

The previous prime is 4992480079. The next prime is 4992480137. The reversal of 4992480126 is 6210842994.

4992480126 is a `hidden beast` number, since 49 + 9 + 2 + 480 + 126 = 666.

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, 602431 + ... + 610661.

It is an arithmetic number, because the mean of its divisors is an integer number (232866816).

Almost surely, 24992480126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4992480126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5588803584).

4992480126 is an abundant number, since it is smaller than the sum of its proper divisors (6185127042).

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

4992480126 is a wasteful number, since it uses less digits than its factorization.

4992480126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9357 (or 9354 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4992480126 is about 70657.4845716998. The cubic root of 4992480126 is about 1709.1182629772.

It can be divided in two parts, 499 and 2480126, that added together give a square (2480625 = 15752).

The spelling of 4992480126 in words is "four billion, nine hundred ninety-two million, four hundred eighty thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 1087 2174 3261 6522 8231 9783 16462 19566 24693 33697 49386 67394 74079 101091 148158 202182 255161 303273 510322 606546 765483 1530966 2296449 4592898 8947097 17894194 26841291 53682582 80523873 161047746 277360007 554720014 832080021 1664160042 2496240063 4992480126