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54639540 = 22325303553
BaseRepresentation
bin1101000001101…
…1101110110100
310210210222100200
43100123232310
5102441431130
65231040500
71232266644
oct320335664
9123728320
1054639540
112892a54a
1216370130
13b4210b7
147384524
154be4760
hex341bbb4

54639540 has 36 divisors (see below), whose sum is σ = 165740484. Its totient is φ = 14570496.

The previous prime is 54639539. The next prime is 54639569. The reversal of 54639540 is 4593645.

It is a happy number.

54639540 is a `hidden beast` number, since 54 + 63 + 9 + 540 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38862756 + 15776784 = 6234^2 + 3972^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 54639495 and 54639504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151597 + ... + 151956.

Almost surely, 254639540 is an apocalyptic number.

It is an amenable number.

54639540 is an abundant number, since it is smaller than the sum of its proper divisors (111100944).

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

54639540 is a wasteful number, since it uses less digits than its factorization.

54639540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303568 (or 303563 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 54639540 is about 7391.8563297727. The cubic root of 54639540 is about 379.4626291790.

The spelling of 54639540 in words is "fifty-four million, six hundred thirty-nine thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 303553 607106 910659 1214212 1517765 1821318 2731977 3035530 3642636 4553295 5463954 6071060 9106590 10927908 13659885 18213180 27319770 54639540