Search a number
-
+
6256742400 = 21233523173
BaseRepresentation
bin1011101001110111…
…00101000000000000
3121011001011110001000
411310323211000000
5100303211224100
62512503412000
7311022301326
oct56473450000
917131143030
106256742400
11272084a197
121267454000
1378932c34c
14434d61d16
1526944e900
hex174ee5000

6256742400 has 624 divisors, whose sum is σ = 24051397120. Its totient is φ = 1592524800.

The previous prime is 6256742383. The next prime is 6256742411. The reversal of 6256742400 is 42476526.

6256742400 is a `hidden beast` number, since 625 + 6 + 7 + 4 + 24 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85708764 + ... + 85708836.

Almost surely, 26256742400 is an apocalyptic number.

6256742400 is a gapful number since it is divisible by the number (60) 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 6256742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12025698560).

6256742400 is an abundant number, since it is smaller than the sum of its proper divisors (17794654720).

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

6256742400 is a wasteful number, since it uses less digits than its factorization.

6256742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 6256742400 is about 79099.5726916397. The cubic root of 6256742400 is about 1842.6778903142.

The spelling of 6256742400 in words is "six billion, two hundred fifty-six million, seven hundred forty-two thousand, four hundred".