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114412848 = 24311337643
BaseRepresentation
bin1101101000111…
…00110100110000
321222021202220220
412310130310300
5213242202343
615204133040
72556331104
oct664346460
9258252826
10114412848
1159646080
1232397180
131a91bb14
14112a3904
15a0a0183
hex6d1cd30

114412848 has 80 divisors (see below), whose sum is σ = 323895936. Its totient is φ = 34513920.

The previous prime is 114412841. The next prime is 114412867. The reversal of 114412848 is 848214411.

It is a super-2 number, since 2×1144128482 = 26180599574942208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (114412841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177615 + ... + 178257.

Almost surely, 2114412848 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 114412848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161947968).

114412848 is an abundant number, since it is smaller than the sum of its proper divisors (209483088).

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

114412848 is a wasteful number, since it uses less digits than its factorization.

114412848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 996 counting only the distinct ones).

The product of its digits is 8192, while the sum is 33.

The square root of 114412848 is about 10696.3941587808. The cubic root of 114412848 is about 485.4653810550.

The spelling of 114412848 in words is "one hundred fourteen million, four hundred twelve thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 337 528 643 674 1011 1286 1348 1929 2022 2572 2696 3707 3858 4044 5144 5392 7073 7414 7716 8088 10288 11121 14146 14828 15432 16176 21219 22242 28292 29656 30864 42438 44484 56584 59312 84876 88968 113168 169752 177936 216691 339504 433382 650073 866764 1300146 1733528 2383601 2600292 3467056 4767202 5200584 7150803 9534404 10401168 14301606 19068808 28603212 38137616 57206424 114412848