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115564248 = 23329716547
BaseRepresentation
bin1101110001101…
…01111011011000
322001110021100100
412320311323120
5214041023443
615244535400
72602165002
oct670657330
9261407310
10115564248
115a262148
1232851560
131ac32c17
14114c3372
15a22b3d3
hex6e35ed8

115564248 has 48 divisors (see below), whose sum is σ = 316232280. Its totient is φ = 38121984.

The previous prime is 115564243. The next prime is 115564271. The reversal of 115564248 is 842465511.

It is a happy number.

115564248 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 642 + 4 + 8 = 666.

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 (115564243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1290 + ... + 15257.

Almost surely, 2115564248 is an apocalyptic number.

115564248 is a gapful number since it is divisible by the number (18) 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 115564248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158116140).

115564248 is an abundant number, since it is smaller than the sum of its proper divisors (200668032).

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

115564248 is a wasteful number, since it uses less digits than its factorization.

115564248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16656 (or 16649 counting only the distinct ones).

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

The square root of 115564248 is about 10750.0813020181. The cubic root of 115564248 is about 487.0884510891.

The spelling of 115564248 in words is "one hundred fifteen million, five hundred sixty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 582 776 873 1164 1746 2328 3492 6984 16547 33094 49641 66188 99282 132376 148923 198564 297846 397128 595692 1191384 1605059 3210118 4815177 6420236 9630354 12840472 14445531 19260708 28891062 38521416 57782124 115564248