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114282048 = 2633716087
BaseRepresentation
bin1101100111111…
…00111001000000
321222001010111110
412303330321000
5213224011143
615201243320
72555244546
oct663747100
9258033443
10114282048
1159566881
1232333540
131a8a441a
141126bd96
15a076533
hex6cfce40

114282048 has 56 divisors (see below), whose sum is σ = 310562752. Its totient is φ = 37062144.

The previous prime is 114282043. The next prime is 114282059. The reversal of 114282048 is 840282411.

It is not an unprimeable number, because it can be changed into a prime (114282043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 940 + ... + 15147.

Almost surely, 2114282048 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 114282048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155281376).

114282048 is an abundant number, since it is smaller than the sum of its proper divisors (196280704).

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

114282048 is a wasteful number, since it uses less digits than its factorization.

114282048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16139 (or 16129 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 114282048 is about 10690.2782003089. The cubic root of 114282048 is about 485.2803112654.

The spelling of 114282048 in words is "one hundred fourteen million, two hundred eighty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3552 7104 16087 32174 48261 64348 96522 128696 193044 257392 386088 514784 595219 772176 1029568 1190438 1544352 1785657 2380876 3088704 3571314 4761752 7142628 9523504 14285256 19047008 28570512 38094016 57141024 114282048