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54428220 = 223357211217
BaseRepresentation
bin1100111110100…
…0001000111100
310210102020111000
43033220020330
5102413200340
65222330300
71230426600
oct317501074
9123366430
1054428220
11287a5800
1216289990
13b378b62
14732b500
154ba1d30
hex33e823c

54428220 has 432 divisors, whose sum is σ = 229249440. Its totient is φ = 10644480.

The previous prime is 54428207. The next prime is 54428233. The reversal of 54428220 is 2282445.

It is a happy number.

54428220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54428207) and next prime (54428233).

It is a super-2 number, since 2×544282202 = 5924862264736800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 3201652 + ... + 3201668.

It is an arithmetic number, because the mean of its divisors is an integer number (530670).

Almost surely, 254428220 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 54428220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114624720).

54428220 is an abundant number, since it is smaller than the sum of its proper divisors (174821220).

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

54428220 is a wasteful number, since it uses less digits than its factorization.

54428220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 54428220 is about 7377.5483732741. The cubic root of 54428220 is about 378.9728029346.

The spelling of 54428220 in words is "fifty-four million, four hundred twenty-eight thousand, two hundred twenty".