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54030624 = 2531733107
BaseRepresentation
bin1100111000011…
…1000100100000
310202200001002020
43032013010200
5102312434444
65210021440
71224152454
oct316070440
9122601066
1054030624
112855400a
1216117880
13b269bab
147266664
154b24119
hex3387120

54030624 has 48 divisors (see below), whose sum is σ = 150177888. Its totient is φ = 16950272.

The previous prime is 54030617. The next prime is 54030629. The reversal of 54030624 is 42603045.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-4 number, since 4×540306244 (a number of 32 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 54030594 and 54030603.

It is not an unprimeable number, because it can be changed into a prime (54030629) 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, 14922 + ... + 18185.

It is an arithmetic number, because the mean of its divisors is an integer number (3128706).

Almost surely, 254030624 is an apocalyptic number.

It is an amenable number.

54030624 is an abundant number, since it is smaller than the sum of its proper divisors (96147264).

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

54030624 is a wasteful number, since it uses less digits than its factorization.

54030624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33137 (or 33129 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 54030624 is about 7350.5526322855. The cubic root of 54030624 is about 378.0477529884.

Adding to 54030624 its reverse (42603045), we get a palindrome (96633669).

The spelling of 54030624 in words is "fifty-four million, thirty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 33107 66214 99321 132428 198642 264856 397284 529712 562819 794568 1059424 1125638 1589136 1688457 2251276 3178272 3376914 4502552 6753828 9005104 13507656 18010208 27015312 54030624