Search a number
-
+
14889888 = 2532134197
BaseRepresentation
bin111000110011…
…001110100000
31001000111002100
4320303032200
512302434023
61251050400
7240363516
oct70631640
931014070
1014889888
11844aaa2
124ba0a00
1331144b0
141d984b6
151491c43
hexe333a0

14889888 has 144 divisors (see below), whose sum is σ = 47194056. Its totient is φ = 4423680.

The previous prime is 14889877. The next prime is 14889913. The reversal of 14889888 is 88898841.

It can be written as a sum of positive squares in 4 ways, for example, as 5817744 + 9072144 = 2412^2 + 3012^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 153456 + ... + 153552.

Almost surely, 214889888 is an apocalyptic number.

14889888 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 14889888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23597028).

14889888 is an abundant number, since it is smaller than the sum of its proper divisors (32304168).

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

14889888 is a wasteful number, since it uses less digits than its factorization.

14889888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 156 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 54.

The square root of 14889888 is about 3858.7417638396. The cubic root of 14889888 is about 246.0162590880.

The spelling of 14889888 in words is "fourteen million, eight hundred eighty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 41 48 52 72 78 82 96 97 104 117 123 144 156 164 194 208 234 246 288 291 312 328 369 388 416 468 492 533 582 624 656 738 776 873 936 984 1066 1164 1248 1261 1312 1476 1552 1599 1746 1872 1968 2132 2328 2522 2952 3104 3198 3492 3744 3783 3936 3977 4264 4656 4797 5044 5904 6396 6984 7566 7954 8528 9312 9594 10088 11349 11808 11931 12792 13968 15132 15908 17056 19188 20176 22698 23862 25584 27936 30264 31816 35793 38376 40352 45396 47724 51168 51701 60528 63632 71586 76752 90792 95448 103402 121056 127264 143172 153504 155103 181584 190896 206804 286344 310206 363168 381792 413608 465309 572688 620412 827216 930618 1145376 1240824 1654432 1861236 2481648 3722472 4963296 7444944 14889888