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2421256608 = 25328407141
BaseRepresentation
bin1001000001010001…
…0111000110100000
320020202000120122200
42100110113012200
514424320202413
61040131533200
7114000225111
oct22024270640
96222016580
102421256608
111032810a21
12576a5a200
132c781c024
1418d7d4208
15e2874573
hex905171a0

2421256608 has 36 divisors (see below), whose sum is σ = 6885449298. Its totient is φ = 807085440.

The previous prime is 2421256589. The next prime is 2421256609. The reversal of 2421256608 is 8066521242.

It is a happy number.

2421256608 is a `hidden beast` number, since 2 + 4 + 21 + 25 + 6 + 608 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1578631824 + 842624784 = 39732^2 + 29028^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (2421256609) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 4203283 + ... + 4203858.

Almost surely, 22421256608 is an apocalyptic number.

It is an amenable number.

2421256608 is an abundant number, since it is smaller than the sum of its proper divisors (4464192690).

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

2421256608 is a wasteful number, since it uses less digits than its factorization.

2421256608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8407157 (or 8407146 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2421256608 is about 49206.2659424590. The cubic root of 2421256608 is about 1342.8070302625.

The spelling of 2421256608 in words is "two billion, four hundred twenty-one million, two hundred fifty-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 8407141 16814282 25221423 33628564 50442846 67257128 75664269 100885692 134514256 151328538 201771384 269028512 302657076 403542768 605314152 807085536 1210628304 2421256608