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256155480 = 233357311093
BaseRepresentation
bin11110100010010…
…01111101011000
3122212000001021000
433101021331120
51011033433410
641230145000
76230166660
oct1721117530
9585001230
10256155480
11121658449
1271952160
13410b93b9
142603d1a0
151774cdc0
hexf449f58

256155480 has 256 divisors, whose sum is σ = 1008230400. Its totient is φ = 56609280.

The previous prime is 256155479. The next prime is 256155481. The reversal of 256155480 is 84551652.

256155480 is a `hidden beast` number, since 2 + 561 + 55 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (256155479) and next prime (256155481).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256155481) 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, 233814 + ... + 234906.

It is an arithmetic number, because the mean of its divisors is an integer number (3938400).

Almost surely, 2256155480 is an apocalyptic number.

256155480 is a gapful number since it is divisible by the number (20) 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 256155480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504115200).

256155480 is an abundant number, since it is smaller than the sum of its proper divisors (752074920).

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

256155480 is a wasteful number, since it uses less digits than its factorization.

256155480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 256155480 is about 16004.8580124911. The cubic root of 256155480 is about 635.0889411865.

The spelling of 256155480 in words is "two hundred fifty-six million, one hundred fifty-five thousand, four hundred eighty".