Search a number
-
+
54463648 = 2517531889
BaseRepresentation
bin1100111111000…
…0110010100000
310210111001002011
43033300302200
5102420314043
65223202304
71230635101
oct317606240
9123431064
1054463648
112881a388
12162a6394
13b38c015
14733a3a8
154bac59d
hex33f0ca0

54463648 has 48 divisors (see below), whose sum is σ = 115736040. Its totient is φ = 25133056.

The previous prime is 54463637. The next prime is 54463649. The reversal of 54463648 is 84636445.

It can be written as a sum of positive squares in 4 ways, for example, as 53406864 + 1056784 = 7308^2 + 1028^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 54463648.

It is not an unprimeable number, because it can be changed into a prime (54463649) 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, 27888 + ... + 29776.

Almost surely, 254463648 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 54463648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57868020).

54463648 is an abundant number, since it is smaller than the sum of its proper divisors (61272392).

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

54463648 is a wasteful number, since it uses less digits than its factorization.

54463648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1961 counting only the distinct ones).

The product of its digits is 276480, while the sum is 40.

The square root of 54463648 is about 7379.9490513146. The cubic root of 54463648 is about 379.0550111250.

The spelling of 54463648 in words is "fifty-four million, four hundred sixty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 53 68 106 136 212 272 424 544 848 901 1696 1802 1889 3604 3778 7208 7556 14416 15112 28832 30224 32113 60448 64226 100117 128452 200234 256904 400468 513808 800936 1027616 1601872 1701989 3203744 3403978 6807956 13615912 27231824 54463648