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54252840 = 23354111027
BaseRepresentation
bin1100111011110…
…1010100101000
310210002022220110
43032331110220
5102342042330
65214454320
71226066355
oct316752450
9123068813
1054252840
1128695a64
12162043a0
13b317095
1472c362c
154b69db0
hex33bd528

54252840 has 64 divisors (see below), whose sum is σ = 166743360. Its totient is φ = 14113280.

The previous prime is 54252839. The next prime is 54252859. The reversal of 54252840 is 4825245.

It is a Smith number, since the sum of its digits (30) 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 54252798 and 54252807.

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, 594 + ... + 10433.

It is an arithmetic number, because the mean of its divisors is an integer number (2605365).

Almost surely, 254252840 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 54252840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83371680).

54252840 is an abundant number, since it is smaller than the sum of its proper divisors (112490520).

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

54252840 is a wasteful number, since it uses less digits than its factorization.

54252840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11082 (or 11078 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 54252840 is about 7365.6527205673. The cubic root of 54252840 is about 378.5653196729.

The spelling of 54252840 in words is "fifty-four million, two hundred fifty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4920 11027 22054 33081 44108 55135 66162 88216 110270 132324 165405 220540 264648 330810 441080 452107 661620 904214 1323240 1356321 1808428 2260535 2712642 3616856 4521070 5425284 6781605 9042140 10850568 13563210 18084280 27126420 54252840