Search a number
-
+
116845488 = 24321759809
BaseRepresentation
bin1101111011011…
…10101110110000
322010212100212200
412331232232300
5214403023423
615332223200
72616112254
oct675565660
9263770780
10116845488
115aa57821
123316ab00
131b291156
1411738264
15a3d0d43
hex6f6ebb0

116845488 has 120 divisors (see below), whose sum is σ = 352544400. Its totient is φ = 35991552.

The previous prime is 116845453. The next prime is 116845489. The reversal of 116845488 is 884548611.

116845488 is a `hidden beast` number, since 1 + 168 + 4 + 5 + 488 = 666.

It is not an unprimeable number, because it can be changed into a prime (116845489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144028 + ... + 144836.

It is an arithmetic number, because the mean of its divisors is an integer number (2937870).

Almost surely, 2116845488 is an apocalyptic number.

116845488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116845488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176272200).

116845488 is an abundant number, since it is smaller than the sum of its proper divisors (235698912).

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

116845488 is a wasteful number, since it uses less digits than its factorization.

116845488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 890 counting only the distinct ones).

The product of its digits is 245760, while the sum is 45.

The square root of 116845488 is about 10809.5091470427. The cubic root of 116845488 is about 488.8819266532.

It can be divided in two parts, 1168 and 45488, that added together give a 6-th power (46656 = 66).

The spelling of 116845488 in words is "one hundred sixteen million, eight hundred forty-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 59 68 72 102 118 136 144 153 177 204 236 272 306 354 408 472 531 612 708 809 816 944 1003 1062 1224 1416 1618 2006 2124 2427 2448 2832 3009 3236 4012 4248 4854 6018 6472 7281 8024 8496 9027 9708 12036 12944 13753 14562 16048 18054 19416 24072 27506 29124 36108 38832 41259 47731 48144 55012 58248 72216 82518 95462 110024 116496 123777 143193 144432 165036 190924 220048 247554 286386 330072 381848 429579 495108 572772 660144 763696 811427 859158 990216 1145544 1622854 1718316 1980432 2291088 2434281 3245708 3436632 4868562 6491416 6873264 7302843 9737124 12982832 14605686 19474248 29211372 38948496 58422744 116845488