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114668048 = 24111076089
BaseRepresentation
bin1101101010110…
…11001000010000
321222202201222202
412311123020100
5213323334143
615213422332
72561443115
oct665331020
9258681882
10114668048
11597aa890
123249a9a8
131a9ab021
141132c90c
15a100ab8
hex6d5b210

114668048 has 40 divisors (see below), whose sum is σ = 244671840. Its totient is φ = 51626240.

The previous prime is 114668023. The next prime is 114668051. The reversal of 114668048 is 840866411.

It is a super-2 number, since 2×1146680482 = 26297522464260608, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15788 + ... + 21876.

It is an arithmetic number, because the mean of its divisors is an integer number (6116796).

Almost surely, 2114668048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114668048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122335920).

114668048 is an abundant number, since it is smaller than the sum of its proper divisors (130003792).

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

114668048 is a wasteful number, since it uses less digits than its factorization.

114668048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6215 (or 6209 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 114668048 is about 10708.3167678212. The cubic root of 114668048 is about 485.8260595622.

The spelling of 114668048 in words is "one hundred fourteen million, six hundred sixty-eight thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 107 176 214 428 856 1177 1712 2354 4708 6089 9416 12178 18832 24356 48712 66979 97424 133958 267916 535832 651523 1071664 1303046 2606092 5212184 7166753 10424368 14333506 28667012 57334024 114668048