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54372 = 22323197
BaseRepresentation
bin1101010001100100
32202120210
431101210
53214442
61055420
7314343
oct152144
982523
1054372
113793a
1227570
131b996
1415b5a
151119c
hexd464

54372 has 24 divisors (see below), whose sum is σ = 133056. Its totient is φ = 17248.

The previous prime is 54371. The next prime is 54377. The reversal of 54372 is 27345.

It is a happy number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178 + ... + 374.

It is an arithmetic number, because the mean of its divisors is an integer number (5544).

254372 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 54372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66528).

54372 is an abundant number, since it is smaller than the sum of its proper divisors (78684).

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

54372 is a wasteful number, since it uses less digits than its factorization.

54372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 225 counting only the distinct ones).

The product of its digits is 840, while the sum is 21.

The square root of 54372 is about 233.1780435633. The cubic root of 54372 is about 37.8842275113.

The spelling of 54372 in words is "fifty-four thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 197 276 394 591 788 1182 2364 4531 9062 13593 18124 27186 54372