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114843828 = 2231119291579
BaseRepresentation
bin1101101100001…
…10000010110100
322000002200010010
412312012002310
5213400000303
615221300220
72563104441
oct666060264
9260080103
10114843828
115990a960
1232564670
131aa40038
14113769c8
15a137c03
hex6d860b4

114843828 has 96 divisors (see below), whose sum is σ = 318528000. Its totient is φ = 31812480.

The previous prime is 114843811. The next prime is 114843877. The reversal of 114843828 is 828348411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71943 + ... + 73521.

It is an arithmetic number, because the mean of its divisors is an integer number (3318000).

Almost surely, 2114843828 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 114843828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159264000).

114843828 is an abundant number, since it is smaller than the sum of its proper divisors (203684172).

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

114843828 is a wasteful number, since it uses less digits than its factorization.

114843828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1643 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 114843828 is about 10716.5212639177. The cubic root of 114843828 is about 486.0741812963.

The spelling of 114843828 in words is "one hundred fourteen million, eight hundred forty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 19 22 29 33 38 44 57 58 66 76 87 114 116 132 174 209 228 319 348 418 551 627 638 836 957 1102 1254 1276 1579 1653 1914 2204 2508 3158 3306 3828 4737 6061 6316 6612 9474 12122 17369 18183 18948 24244 30001 34738 36366 45791 52107 60002 69476 72732 90003 91582 104214 120004 137373 180006 183164 208428 274746 330011 360012 503701 549492 660022 870029 990033 1007402 1320044 1511103 1740058 1980066 2014804 2610087 3022206 3480116 3960132 5220174 6044412 9570319 10440348 19140638 28710957 38281276 57421914 114843828