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2426740736 = 2137101419
BaseRepresentation
bin1001000010100101…
…0010000000000000
320021010100012110112
42100221102000000
514432221200421
61040445250452
7114064645610
oct22051220000
96233305415
102426740736
111035917262
12578863a28
132c89bc284
14190420a40
15e30a945b
hex90a52000

2426740736 has 112 divisors (see below), whose sum is σ = 5614781760. Its totient is φ = 1027276800.

The previous prime is 2426740721. The next prime is 2426740739. The reversal of 2426740736 is 6370476242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 2426740693 and 2426740702.

It is not an unprimeable number, because it can be changed into a prime (2426740739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5791535 + ... + 5791953.

It is an arithmetic number, because the mean of its divisors is an integer number (50131980).

Almost surely, 22426740736 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 2426740736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807390880).

2426740736 is an abundant number, since it is smaller than the sum of its proper divisors (3188041024).

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

2426740736 is an equidigital number, since it uses as much as digits as its factorization.

2426740736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 41.

The square root of 2426740736 is about 49261.9603345218. The cubic root of 2426740736 is about 1343.8200817359.

The spelling of 2426740736 in words is "two billion, four hundred twenty-six million, seven hundred forty thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 101 112 128 202 224 256 404 419 448 512 707 808 838 896 1024 1414 1616 1676 1792 2048 2828 2933 3232 3352 3584 4096 5656 5866 6464 6704 7168 8192 11312 11732 12928 13408 14336 22624 23464 25856 26816 28672 42319 45248 46928 51712 53632 57344 84638 90496 93856 103424 107264 169276 180992 187712 206848 214528 296233 338552 361984 375424 413696 429056 592466 677104 723968 750848 827392 858112 1184932 1354208 1447936 1501696 1716224 2369864 2708416 2895872 3003392 3432448 4739728 5416832 5791744 6006784 9479456 10833664 12013568 18958912 21667328 24027136 37917824 43334656 75835648 86669312 151671296 173338624 303342592 346677248 606685184 1213370368 2426740736