Search a number
-
+
2331493542 = 232737948823
BaseRepresentation
bin1000101011110111…
…1100010010100110
320000111010010212200
42022331330102212
514233330243132
61023203555330
7111530240160
oct21275742246
96014103780
102331493542
11a97081674
1255098bb46
132b2050ba1
14181909930
15d9a42d7c
hex8af7c4a6

2331493542 has 48 divisors (see below), whose sum is σ = 5788573440. Its totient is φ = 664369776.

The previous prime is 2331493523. The next prime is 2331493547. The reversal of 2331493542 is 2453941332.

2331493542 is a `hidden beast` number, since 23 + 3 + 1 + 4 + 93 + 542 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2331493497 and 2331493506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2331493547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23343 + ... + 72165.

It is an arithmetic number, because the mean of its divisors is an integer number (120595280).

Almost surely, 22331493542 is an apocalyptic number.

2331493542 is an abundant number, since it is smaller than the sum of its proper divisors (3457079898).

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

2331493542 is a wasteful number, since it uses less digits than its factorization.

2331493542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49217 (or 49214 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 2331493542 is about 48285.5417490578. The cubic root of 2331493542 is about 1326.0037093049.

The spelling of 2331493542 in words is "two billion, three hundred thirty-one million, four hundred ninety-three thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 379 758 1137 2274 2653 3411 5306 6822 7959 15918 23877 47754 48823 97646 146469 292938 341761 439407 683522 878814 1025283 2050566 3075849 6151698 18503917 37007834 55511751 111023502 129527419 166535253 259054838 333070506 388582257 777164514 1165746771 2331493542