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114556848 = 2437367929
BaseRepresentation
bin1101101001111…
…11111110110000
321222120002110020
412310333332300
5213311304343
615211203440
72560500660
oct664777660
9258502406
10114556848
115973428a
1232446580
131a96c523
14113001a0
15a0ccb83
hex6d3ffb0

114556848 has 80 divisors (see below), whose sum is σ = 339502080. Its totient is φ = 32606208.

The previous prime is 114556837. The next prime is 114556853. The reversal of 114556848 is 848655411.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 122848 + ... + 123776.

It is an arithmetic number, because the mean of its divisors is an integer number (4243776).

Almost surely, 2114556848 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 114556848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169751040).

114556848 is an abundant number, since it is smaller than the sum of its proper divisors (224945232).

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

114556848 is a wasteful number, since it uses less digits than its factorization.

114556848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1308 counting only the distinct ones).

The product of its digits is 153600, while the sum is 42.

The square root of 114556848 is about 10703.1232824816. The cubic root of 114556848 is about 485.6689645635.

The spelling of 114556848 in words is "one hundred fourteen million, five hundred fifty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 367 734 929 1101 1468 1858 2202 2569 2787 2936 3716 4404 5138 5574 5872 6503 7432 7707 8808 10276 11148 13006 14864 15414 17616 19509 20552 22296 26012 30828 39018 41104 44592 52024 61656 78036 104048 123312 156072 312144 340943 681886 1022829 1363772 2045658 2386601 2727544 4091316 4773202 5455088 7159803 8182632 9546404 14319606 16365264 19092808 28639212 38185616 57278424 114556848