Search a number
-
+
54330232 = 231117231579
BaseRepresentation
bin1100111101000…
…0001101111000
310210020021001211
43033100031320
5102402031412
65220252504
71226541115
oct317201570
9123207054
1054330232
1128739120
1216241134
13b343388
14730390c
154b82ca7
hex33d0378

54330232 has 64 divisors (see below), whose sum is σ = 122860800. Its totient is φ = 22218240.

The previous prime is 54330217. The next prime is 54330257. The reversal of 54330232 is 23203345.

54330232 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 (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33619 + ... + 35197.

It is an arithmetic number, because the mean of its divisors is an integer number (1919700).

Almost surely, 254330232 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 54330232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61430400).

54330232 is an abundant number, since it is smaller than the sum of its proper divisors (68530568).

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

54330232 is a wasteful number, since it uses less digits than its factorization.

54330232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

The square root of 54330232 is about 7370.9044221181. The cubic root of 54330232 is about 378.7452427087.

Adding to 54330232 its reverse (23203345), we get a palindrome (77533577).

The spelling of 54330232 in words is "fifty-four million, three hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 17 22 23 34 44 46 68 88 92 136 184 187 253 374 391 506 748 782 1012 1496 1564 1579 2024 3128 3158 4301 6316 8602 12632 17204 17369 26843 34408 34738 36317 53686 69476 72634 107372 138952 145268 214744 290536 295273 399487 590546 617389 798974 1181092 1234778 1597948 2362184 2469556 3195896 4939112 6791279 13582558 27165116 54330232