Search a number
-
+
114460488 = 23327612089
BaseRepresentation
bin1101101001010…
…00011101001000
321222101012021100
412310220131020
5213300213423
615205141400
72556620022
oct664503510
9258335240
10114460488
115967894a
12323ba860
131a9376cc
14112b7012
15a0ae343
hex6d28748

114460488 has 48 divisors (see below), whose sum is σ = 310553100. Its totient is φ = 38085120.

The previous prime is 114460487. The next prime is 114460513. The reversal of 114460488 is 884064411.

114460488 is a `hidden beast` number, since 1 + 1 + 44 + 604 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 111894084 + 2566404 = 10578^2 + 1602^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (114460481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53748 + ... + 55836.

Almost surely, 2114460488 is an apocalyptic number.

114460488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114460488 is an abundant number, since it is smaller than the sum of its proper divisors (196092612).

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

114460488 is a wasteful number, since it uses less digits than its factorization.

114460488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2862 (or 2855 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 114460488 is about 10698.6208456978. The cubic root of 114460488 is about 485.5327521644.

The spelling of 114460488 in words is "one hundred fourteen million, four hundred sixty thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 761 1522 2089 2283 3044 4178 4566 6088 6267 6849 8356 9132 12534 13698 16712 18264 18801 25068 27396 37602 50136 54792 75204 150408 1589729 3179458 4769187 6358916 9538374 12717832 14307561 19076748 28615122 38153496 57230244 114460488