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114838808 = 23717711699
BaseRepresentation
bin1101101100001…
…00110100011000
322000002102020012
412312010310120
5213344320213
615221221052
72563054010
oct666046430
9260072205
10114838808
1159907107
1232561788
131aa3a976
1411374c40
15a1364a8
hex6d84d18

114838808 has 64 divisors (see below), whose sum is σ = 264384000. Its totient is φ = 45642240.

The previous prime is 114838741. The next prime is 114838817. The reversal of 114838808 is 808838411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66743 + ... + 68441.

It is an arithmetic number, because the mean of its divisors is an integer number (4131000).

Almost surely, 2114838808 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 114838808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132192000).

114838808 is an abundant number, since it is smaller than the sum of its proper divisors (149545192).

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

114838808 is a wasteful number, since it uses less digits than its factorization.

114838808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 41.

The square root of 114838808 is about 10716.2870435613. The cubic root of 114838808 is about 486.0670988436.

The spelling of 114838808 in words is "one hundred fourteen million, eight hundred thirty-eight thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 71 119 136 142 238 284 476 497 568 952 994 1207 1699 1988 2414 3398 3976 4828 6796 8449 9656 11893 13592 16898 23786 28883 33796 47572 57766 67592 95144 115532 120629 202181 231064 241258 404362 482516 808724 844403 965032 1617448 1688806 2050693 3377612 4101386 6755224 8202772 14354851 16405544 28709702 57419404 114838808