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115448256 = 263271119137
BaseRepresentation
bin1101110000110…
…01100111000000
322001020101020100
412320121213000
5214023321011
615242242400
72601202560
oct670314700
9261211210
10115448256
115a192a90
12327b6400
131abc21a1
1411492da0
15a206d56
hex6e199c0

115448256 has 336 divisors, whose sum is σ = 437448960. Its totient is φ = 28200960.

The previous prime is 115448213. The next prime is 115448261. The reversal of 115448256 is 652844511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

Its product of digits (38400) is a multiple of the sum of its prime factors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 115448256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 842620 + ... + 842756.

Almost surely, 2115448256 is an apocalyptic number.

115448256 is a gapful number since it is divisible by the number (16) 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 115448256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218724480).

115448256 is an abundant number, since it is smaller than the sum of its proper divisors (322000704).

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

115448256 is a wasteful number, since it uses less digits than its factorization.

115448256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 179 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 115448256 is about 10744.6850116697. The cubic root of 115448256 is about 486.9254327461.

The spelling of 115448256 in words is "one hundred fifteen million, four hundred forty-eight thousand, two hundred fifty-six".