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54421664 = 2511349443
BaseRepresentation
bin1100111110011…
…0100010100000
310210101220111012
43033212202200
5102412443124
65222240052
71230401513
oct317464240
9123356435
1054421664
11287a0890
1216286028
13b375b8b
147328d7a
154b9ee0e
hex33e68a0

54421664 has 48 divisors (see below), whose sum is σ = 117482400. Its totient is φ = 24610560.

The previous prime is 54421663. The next prime is 54421667. The reversal of 54421664 is 46612445.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 54421664.

It is not an unprimeable number, because it can be changed into a prime (54421663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122627 + ... + 123069.

It is an arithmetic number, because the mean of its divisors is an integer number (2447550).

Almost surely, 254421664 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 54421664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58741200).

54421664 is an abundant number, since it is smaller than the sum of its proper divisors (63060736).

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

54421664 is a wasteful number, since it uses less digits than its factorization.

54421664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 805 counting only the distinct ones).

The product of its digits is 23040, while the sum is 32.

The square root of 54421664 is about 7377.1040388488. The cubic root of 54421664 is about 378.9575862850.

The spelling of 54421664 in words is "fifty-four million, four hundred twenty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 349 352 443 698 886 1396 1772 2792 3544 3839 4873 5584 7088 7678 9746 11168 14176 15356 19492 30712 38984 61424 77968 122848 154607 155936 309214 618428 1236856 1700677 2473712 3401354 4947424 6802708 13605416 27210832 54421664