Search a number
-
+
2413313792 = 2831417417
BaseRepresentation
bin1000111111011000…
…0011111100000000
320020012002001011022
42033312003330000
514420302020132
61035245405012
7113542554161
oct21766037400
96205061138
102413313792
11102928640a
12574269768
132c5c9a936
1418c727768
15e1d05e12
hex8fd83f00

2413313792 has 72 divisors (see below), whose sum is σ = 5094563712. Its totient is φ = 1139097600.

The previous prime is 2413313743. The next prime is 2413313831. The reversal of 2413313792 is 2973133142.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 321668 + ... + 329084.

Almost surely, 22413313792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2413313792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547281856).

2413313792 is an abundant number, since it is smaller than the sum of its proper divisors (2681249920).

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

2413313792 is an equidigital number, since it uses as much as digits as its factorization.

2413313792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7505 (or 7491 counting only the distinct ones).

The product of its digits is 27216, while the sum is 35.

The square root of 2413313792 is about 49125.4902469176. The cubic root of 2413313792 is about 1341.3370837384.

The spelling of 2413313792 in words is "two billion, four hundred thirteen million, three hundred thirteen thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 31 32 41 62 64 82 124 128 164 248 256 328 496 656 992 1271 1312 1984 2542 2624 3968 5084 5248 7417 7936 10168 10496 14834 20336 29668 40672 59336 81344 118672 162688 229927 237344 304097 325376 459854 474688 608194 919708 949376 1216388 1839416 1898752 2432776 3678832 4865552 7357664 9427007 9731104 14715328 18854014 19462208 29430656 37708028 38924416 58861312 75416056 77848832 150832112 301664224 603328448 1206656896 2413313792