Search a number
-
+
12552232 = 2372114171
BaseRepresentation
bin101111111000…
…100000101000
3212121201102111
4233320200220
511203132412
61125012104
7211456300
oct57704050
925551374
1012552232
1170a3750
124254034
1327a6474
14194a600
15117e2a7
hexbf8828

12552232 has 96 divisors (see below), whose sum is σ = 31026240. Its totient is φ = 4704000.

The previous prime is 12552229. The next prime is 12552233. The reversal of 12552232 is 23225521.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (12552233) by changing a digit.

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, 176757 + ... + 176827.

It is an arithmetic number, because the mean of its divisors is an integer number (323190).

Almost surely, 212552232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12552232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15513120).

12552232 is an abundant number, since it is smaller than the sum of its proper divisors (18474008).

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

12552232 is a wasteful number, since it uses less digits than its factorization.

12552232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 132 counting only the distinct ones).

The product of its digits is 1200, while the sum is 22.

The square root of 12552232 is about 3542.9129258281. The cubic root of 12552232 is about 232.4022451034.

Adding to 12552232 its reverse (23225521), we get a palindrome (35777753).

Subtracting 12552232 from its reverse (23225521), we obtain a square (10673289 = 32672).

The spelling of 12552232 in words is "twelve million, five hundred fifty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 41 44 49 56 71 77 82 88 98 142 154 164 196 284 287 308 328 392 451 497 539 568 574 616 781 902 994 1078 1148 1562 1804 1988 2009 2156 2296 2911 3124 3157 3479 3608 3976 4018 4312 5467 5822 6248 6314 6958 8036 10934 11644 12628 13916 16072 20377 21868 22099 23288 25256 27832 32021 38269 40754 43736 44198 64042 76538 81508 88396 128084 142639 153076 163016 176792 224147 256168 285278 306152 448294 570556 896588 1141112 1569029 1793176 3138058 6276116 12552232