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114955992 = 23322516361
BaseRepresentation
bin1101101101000…
…01011011011000
322000022100222100
412312201123120
5213412042432
615223523400
72564052444
oct666413330
9260270870
10114955992
1159987158
12325b9560
131aa7c0c8
14113a5824
15a15b07c
hex6da16d8

114955992 has 48 divisors (see below), whose sum is σ = 312628680. Its totient is φ = 38160000.

The previous prime is 114955991. The next prime is 114956021. The reversal of 114955992 is 299559411.

114955992 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 559 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114955991) 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, 14892 + ... + 21252.

Almost surely, 2114955992 is an apocalyptic number.

114955992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114955992 is an abundant number, since it is smaller than the sum of its proper divisors (197672688).

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

114955992 is a wasteful number, since it uses less digits than its factorization.

114955992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6624 (or 6617 counting only the distinct ones).

The product of its digits is 145800, while the sum is 45.

The square root of 114955992 is about 10721.7532148432. The cubic root of 114955992 is about 486.2323737616.

The spelling of 114955992 in words is "one hundred fourteen million, nine hundred fifty-five thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 251 502 753 1004 1506 2008 2259 3012 4518 6024 6361 9036 12722 18072 19083 25444 38166 50888 57249 76332 114498 152664 228996 457992 1596611 3193222 4789833 6386444 9579666 12772888 14369499 19159332 28738998 38318664 57477996 114955992