Search a number
-
+
54232416 = 25347361
BaseRepresentation
bin1100111011100…
…0010101100000
310210001021220000
43032320111200
5102340414131
65214220000
71225653000
oct316702540
9123037800
1054232416
1128681687
12161b4600
13b30a9b4
1472ba000
154b63ce6
hex33b8560

54232416 has 240 divisors, whose sum is σ = 189050400. Its totient is φ = 15240960.

The previous prime is 54232411. The next prime is 54232433. The reversal of 54232416 is 61423245.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 54232416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54232411) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 889026 + ... + 889086.

It is an arithmetic number, because the mean of its divisors is an integer number (787710).

Almost surely, 254232416 is an apocalyptic number.

54232416 is a gapful number since it is divisible by the number (56) 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 54232416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94525200).

54232416 is an abundant number, since it is smaller than the sum of its proper divisors (134817984).

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

54232416 is an equidigital number, since it uses as much as digits as its factorization.

54232416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 73 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 54232416 is about 7364.2661548860. The cubic root of 54232416 is about 378.5178088665.

The spelling of 54232416 in words is "fifty-four million, two hundred thirty-two thousand, four hundred sixteen".