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54561144 = 23311233887
BaseRepresentation
bin1101000000100…
…0100101111000
310210122222211010
43100020211320
5102431424034
65225233520
71231522251
oct320104570
9123588733
1054561144
1128886660
12163328a0
13b3c4501
147363b28
154bcb3e9
hex3408978

54561144 has 64 divisors (see below), whose sum is σ = 149610240. Its totient is φ = 16444160.

The previous prime is 54561139. The next prime is 54561161. The reversal of 54561144 is 44116545.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61069 + ... + 61955.

It is an arithmetic number, because the mean of its divisors is an integer number (2337660).

Almost surely, 254561144 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 54561144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74805120).

54561144 is an abundant number, since it is smaller than the sum of its proper divisors (95049096).

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

54561144 is a wasteful number, since it uses less digits than its factorization.

54561144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1136 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 54561144 is about 7386.5515634835. The cubic root of 54561144 is about 379.2810598666.

Adding to 54561144 its reverse (44116545), we get a palindrome (98677689).

The spelling of 54561144 in words is "fifty-four million, five hundred sixty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 233 264 466 699 887 932 1398 1774 1864 2563 2661 2796 3548 5126 5322 5592 7096 7689 9757 10252 10644 15378 19514 20504 21288 29271 30756 39028 58542 61512 78056 117084 206671 234168 413342 620013 826684 1240026 1653368 2273381 2480052 4546762 4960104 6820143 9093524 13640286 18187048 27280572 54561144