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2426044644 = 2232101667229
BaseRepresentation
bin1001000010011010…
…1000000011100100
320021002000211121100
42100212220003210
514432031412034
61040422320100
7114056016312
oct22046500344
96232024540
102426044644
111035491281
12578589030
132c880749a
141902bd0b2
15e2ebd099
hex909a80e4

2426044644 has 36 divisors (see below), whose sum is σ = 6193228860. Its totient is φ = 800673600.

The previous prime is 2426044633. The next prime is 2426044657. The reversal of 2426044644 is 4464406242.

2426044644 is a `hidden beast` number, since 2 + 4 + 2 + 6 + 0 + 4 + 4 + 644 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2226896100 + 199148544 = 47190^2 + 14112^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×24260446442 = 11771385229362173472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2426044599 and 2426044608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 329979 + ... + 337250.

It is an arithmetic number, because the mean of its divisors is an integer number (172034135).

Almost surely, 22426044644 is an apocalyptic number.

It is an amenable number.

2426044644 is an abundant number, since it is smaller than the sum of its proper divisors (3767184216).

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

2426044644 is a wasteful number, since it uses less digits than its factorization.

2426044644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667340 (or 667335 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The square root of 2426044644 is about 49254.8946197228. The cubic root of 2426044644 is about 1343.6915812815.

The spelling of 2426044644 in words is "two billion, four hundred twenty-six million, forty-four thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 667229 1334458 2001687 2668916 4003374 6005061 8006748 12010122 24020244 67390129 134780258 202170387 269560516 404340774 606511161 808681548 1213022322 2426044644