Search a number
-
+
2426551344 = 24357247271
BaseRepresentation
bin1001000010100010…
…0011110000110000
320021002222120200000
42100220203300300
514432144120334
61040441230000
7114063226500
oct22050436060
96232876600
102426551344
1110357a7a38
12578792300
132c8953cc9
141903b1a00
15e306d299
hex90a23c30

2426551344 has 360 divisors, whose sum is σ = 8397462528. Its totient is φ = 676045440.

The previous prime is 2426551331. The next prime is 2426551373. The reversal of 2426551344 is 4431556242.

2426551344 is a `hidden beast` number, since 2 + 4 + 265 + 51 + 344 = 666.

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 = 2426551299 and 2426551308.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 8953929 + ... + 8954199.

Almost surely, 22426551344 is an apocalyptic number.

2426551344 is a gapful number since it is divisible by the number (24) 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 2426551344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198731264).

2426551344 is an abundant number, since it is smaller than the sum of its proper divisors (5970911184).

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

2426551344 is a wasteful number, since it uses less digits than its factorization.

2426551344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 330 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 2426551344 is about 49260.0380024214. The cubic root of 2426551344 is about 1343.7851218972.

The spelling of 2426551344 in words is "two billion, four hundred twenty-six million, five hundred fifty-one thousand, three hundred forty-four".