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54411364 = 2272192769
BaseRepresentation
bin1100111110010…
…0000001100100
310210101101100201
43033210001210
5102412130424
65222120244
71230326500
oct317440144
9123341321
1054411364
1128794077
1216280084
13b371297
147325300
154b9bd44
hex33e4064

54411364 has 54 divisors (see below), whose sum is σ = 117054630. Its totient is φ = 22063104.

The previous prime is 54411361. The next prime is 54411389. The reversal of 54411364 is 46311445.

It can be written as a sum of positive squares in only one way, i.e., 44222500 + 10188864 = 6650^2 + 3192^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (54411361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 70372 + ... + 71140.

Almost surely, 254411364 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 54411364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58527315).

54411364 is an abundant number, since it is smaller than the sum of its proper divisors (62643266).

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

54411364 is a wasteful number, since it uses less digits than its factorization.

54411364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 797 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 54411364 is about 7376.4058998946. The cubic root of 54411364 is about 378.9336772439.

The spelling of 54411364 in words is "fifty-four million, four hundred eleven thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 361 532 722 769 931 1444 1538 1862 2527 3076 3724 5054 5383 10108 10766 14611 17689 21532 29222 35378 37681 58444 70756 75362 102277 150724 204554 277609 409108 555218 715939 1110436 1431878 1943263 2863756 3886526 7773052 13602841 27205682 54411364