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2493444824 = 2313293126669
BaseRepresentation
bin1001010010011110…
…1111001011011000
320102202212010021022
42110213233023120
520101310213244
61051231102012
7115534634303
oct22447571330
96382763238
102493444824
11106a537002
12597071908
13309775850
14199225b3a
15e8d836ee
hex949ef2d8

2493444824 has 64 divisors (see below), whose sum is σ = 5376672000. Its totient is φ = 1075253760.

The previous prime is 2493444787. The next prime is 2493444839. The reversal of 2493444824 is 4284443942.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 80162 + ... + 106830.

It is an arithmetic number, because the mean of its divisors is an integer number (84010500).

Almost surely, 22493444824 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 2493444824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688336000).

2493444824 is an abundant number, since it is smaller than the sum of its proper divisors (2883227176).

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

2493444824 is a wasteful number, since it uses less digits than its factorization.

2493444824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26748 (or 26744 counting only the distinct ones).

The product of its digits is 884736, while the sum is 44.

The square root of 2493444824 is about 49934.4052132395. The cubic root of 2493444824 is about 1356.0215376420.

The spelling of 2493444824 in words is "two billion, four hundred ninety-three million, four hundred forty-four thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 13 26 29 31 52 58 62 104 116 124 232 248 377 403 754 806 899 1508 1612 1798 3016 3224 3596 7192 11687 23374 26669 46748 53338 93496 106676 213352 346697 693394 773401 826739 1386788 1546802 1653478 2773576 3093604 3306956 6187208 6613912 10054213 10747607 20108426 21495214 23975431 40216852 42990428 47950862 80433704 85980856 95901724 191803448 311680603 623361206 1246722412 2493444824