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54152568 = 23327310303
BaseRepresentation
bin1100111010010…
…0110101111000
310202220020100200
43032210311320
5102330340233
65212402200
71225201131
oct316446570
9122806320
1054152568
1128627698
1216176360
13b2b0552
147298c88
154b4a313
hex33a4d78

54152568 has 48 divisors (see below), whose sum is σ = 148686720. Its totient is φ = 17801856.

The previous prime is 54152563. The next prime is 54152587. The reversal of 54152568 is 86525145.

54152568 is a `hidden beast` number, since 5 + 41 + 52 + 568 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54152561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105 + ... + 10407.

It is an arithmetic number, because the mean of its divisors is an integer number (3097640).

Almost surely, 254152568 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 54152568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74343360).

54152568 is an abundant number, since it is smaller than the sum of its proper divisors (94534152).

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

54152568 is a wasteful number, since it uses less digits than its factorization.

54152568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10388 (or 10381 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 54152568 is about 7358.8428438172. The cubic root of 54152568 is about 378.3319499433.

The spelling of 54152568 in words is "fifty-four million, one hundred fifty-two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1314 1752 2628 5256 10303 20606 30909 41212 61818 82424 92727 123636 185454 247272 370908 741816 752119 1504238 2256357 3008476 4512714 6016952 6769071 9025428 13538142 18050856 27076284 54152568