Search a number
-
+
14555952 = 2432271373
BaseRepresentation
bin110111100001…
…101100110000
31000101112000100
4313201230300
512211242302
61235552400
7234503115
oct67415460
930345010
1014555952
118242114
124a5b700
1330284b8
141d0c90c
151427d1c
hexde1b30

14555952 has 60 divisors (see below), whose sum is σ = 40996384. Its totient is φ = 4821120.

The previous prime is 14555939. The next prime is 14555963. The reversal of 14555952 is 25955541.

14555952 is a `hidden beast` number, since 14 + 55 + 595 + 2 = 666.

14555952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38838 + ... + 39210.

Almost surely, 214555952 is an apocalyptic number.

14555952 is a gapful number since it is divisible by the number (12) 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 14555952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20498192).

14555952 is an abundant number, since it is smaller than the sum of its proper divisors (26440432).

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

14555952 is a wasteful number, since it uses less digits than its factorization.

14555952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 649 counting only the distinct ones).

The product of its digits is 45000, while the sum is 36.

The square root of 14555952 is about 3815.2263366673. The cubic root of 14555952 is about 244.1631981760.

The spelling of 14555952 in words is "fourteen million, five hundred fifty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 271 373 542 746 813 1084 1119 1492 1626 2168 2238 2439 2984 3252 3357 4336 4476 4878 5968 6504 6714 8952 9756 13008 13428 17904 19512 26856 39024 53712 101083 202166 303249 404332 606498 808664 909747 1212996 1617328 1819494 2425992 3638988 4851984 7277976 14555952