Search a number
-
+
114858256 = 24171812333
BaseRepresentation
bin1101101100010…
…01100100010000
322000010101220111
412312021210100
5213400431011
615221451104
72563164502
oct666114420
9260111814
10114858256
115991a787
1232570a94
131aa46786
141137bd72
15a13c121
hex6d89910

114858256 has 40 divisors (see below), whose sum is σ = 237031704. Its totient is φ = 53729280.

The previous prime is 114858229. The next prime is 114858277. The reversal of 114858256 is 652858411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1648656 + 113209600 = 1284^2 + 10640^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48066 + ... + 50398.

Almost surely, 2114858256 is an apocalyptic number.

114858256 is a gapful number since it is divisible by the number (16) 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 114858256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118515852).

114858256 is an abundant number, since it is smaller than the sum of its proper divisors (122173448).

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

114858256 is a wasteful number, since it uses less digits than its factorization.

114858256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2539 (or 2533 counting only the distinct ones).

The product of its digits is 76800, while the sum is 40.

The square root of 114858256 is about 10717.1944089860. The cubic root of 114858256 is about 486.0945358501.

The spelling of 114858256 in words is "one hundred fourteen million, eight hundred fifty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 34 68 136 181 272 362 724 1448 2333 2896 3077 4666 6154 9332 12308 18664 24616 37328 39661 49232 79322 158644 317288 422273 634576 844546 1689092 3378184 6756368 7178641 14357282 28714564 57429128 114858256