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54053688 = 23313173249
BaseRepresentation
bin1100111000110…
…0101100111000
310202201012201110
43032030230320
5102314204223
65210320320
71224306633
oct316145470
9122635643
1054053688
112856a377
12161290a0
13b277540
147270c1a
154b2ad93
hex338cb38

54053688 has 32 divisors (see below), whose sum is σ = 145530000. Its totient is φ = 16631808.

The previous prime is 54053683. The next prime is 54053717. The reversal of 54053688 is 88635045.

It is a happy number.

54053688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54053683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86313 + ... + 86936.

Almost surely, 254053688 is an apocalyptic number.

It is an amenable number.

54053688 is an abundant number, since it is smaller than the sum of its proper divisors (91476312).

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

54053688 is a wasteful number, since it uses less digits than its factorization.

54053688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173271 (or 173267 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 54053688 is about 7352.1213265288. The cubic root of 54053688 is about 378.1015376285.

The spelling of 54053688 in words is "fifty-four million, fifty-three thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 173249 346498 519747 692996 1039494 1385992 2078988 2252237 4157976 4504474 6756711 9008948 13513422 18017896 27026844 54053688