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2426044020 = 22351312571201
BaseRepresentation
bin1001000010011010…
…0111111001110100
320021002000210202020
42100212213321310
514432031402040
61040422313140
7114056014431
oct22046477164
96232023666
102426044020
111035490864
125785887b0
132c880710a
141902bcb88
15e2ebccd0
hex909a7e74

2426044020 has 96 divisors (see below), whose sum is σ = 6877132416. Its totient is φ = 638976000.

The previous prime is 2426044001. The next prime is 2426044057. The reversal of 2426044020 is 204406242.

2426044020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2019420 + ... + 2020620.

It is an arithmetic number, because the mean of its divisors is an integer number (71636796).

Almost surely, 22426044020 is an apocalyptic number.

2426044020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2426044020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3438566208).

2426044020 is an abundant number, since it is smaller than the sum of its proper divisors (4451088396).

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

2426044020 is a wasteful number, since it uses less digits than its factorization.

2426044020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2426044020 is about 49254.8882853266. Note that the first 3 decimals coincide. The cubic root of 2426044020 is about 1343.6914660784.

The spelling of 2426044020 in words is "two billion, four hundred twenty-six million, forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 257 262 393 514 524 655 771 786 1028 1201 1285 1310 1542 1572 1965 2402 2570 2620 3084 3603 3855 3930 4804 5140 6005 7206 7710 7860 12010 14412 15420 18015 24020 33667 36030 67334 72060 101001 134668 157331 168335 202002 308657 314662 336670 404004 471993 505005 617314 629324 673340 786655 925971 943986 1010010 1234628 1543285 1573310 1851942 1887972 2020020 2359965 3086570 3146620 3703884 4629855 4719930 6173140 9259710 9439860 18519420 40434067 80868134 121302201 161736268 202170335 242604402 404340670 485208804 606511005 808681340 1213022010 2426044020