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114618048 = 2634313883
BaseRepresentation
bin1101101010011…
…10111011000000
321222200012101220
412311032323000
5213320234143
615212355040
72561144256
oct665167300
9258605356
10114618048
1159776266
1232475a80
131a99133c
14113185d6
15a0e0d83
hex6d4eec0

114618048 has 56 divisors (see below), whose sum is σ = 310335168. Its totient is φ = 37314816.

The previous prime is 114618043. The next prime is 114618073. The reversal of 114618048 is 840816411.

It is not an unprimeable number, because it can be changed into a prime (114618043) 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, 1315 + ... + 15197.

Almost surely, 2114618048 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 114618048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155167584).

114618048 is an abundant number, since it is smaller than the sum of its proper divisors (195717120).

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

114618048 is a wasteful number, since it uses less digits than its factorization.

114618048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13941 (or 13931 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 114618048 is about 10705.9818793047. The cubic root of 114618048 is about 485.7554358941.

The spelling of 114618048 in words is "one hundred fourteen million, six hundred eighteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 516 688 1032 1376 2064 2752 4128 8256 13883 27766 41649 55532 83298 111064 166596 222128 333192 444256 596969 666384 888512 1193938 1332768 1790907 2387876 2665536 3581814 4775752 7163628 9551504 14327256 19103008 28654512 38206016 57309024 114618048