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256423104 = 26337172943
BaseRepresentation
bin11110100100010…
…11010011000000
3122212111122101000
433102023103000
51011121014404
641240012000
76232363140
oct1722132300
9585448330
10256423104
11121820523
1271a61000
1341181162
14260ac920
15177a2339
hexf48b4c0

256423104 has 448 divisors, whose sum is σ = 965606400. Its totient is φ = 65028096.

The previous prime is 256423099. The next prime is 256423109. The reversal of 256423104 is 401324652.

256423104 is a `hidden beast` number, since 2 + 5 + 642 + 3 + 10 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (256423099) and next prime (256423109).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256423109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5963307 + ... + 5963349.

Almost surely, 2256423104 is an apocalyptic number.

256423104 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 256423104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482803200).

256423104 is an abundant number, since it is smaller than the sum of its proper divisors (709183296).

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

256423104 is a wasteful number, since it uses less digits than its factorization.

256423104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 256423104 is about 16013.2165413448. The cubic root of 256423104 is about 635.3100385262.

Adding to 256423104 its reverse (401324652), we get a palindrome (657747756).

The spelling of 256423104 in words is "two hundred fifty-six million, four hundred twenty-three thousand, one hundred four".