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54325656 = 233271141239
BaseRepresentation
bin1100111100111…
…1000110011000
310210020000210100
43033033012120
5102401410111
65220215400
71226521560
oct317170630
9123200710
1054325656
1128735740
121623a560
13b341278
147301da0
154b81756
hex33cf198

54325656 has 192 divisors, whose sum is σ = 188697600. Its totient is φ = 13708800.

The previous prime is 54325639. The next prime is 54325669. The reversal of 54325656 is 65652345.

It is a happy number.

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

It is an alternating number because its digits alternate between odd and even.

54325656 is a modest number, since divided by 5656 gives 5432 as remainder.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 54325656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227185 + ... + 227423.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 254325656 is an apocalyptic number.

54325656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54325656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94348800).

54325656 is an abundant number, since it is smaller than the sum of its proper divisors (134371944).

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

54325656 is a wasteful number, since it uses less digits than its factorization.

54325656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 303 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 54325656 is about 7370.5940059130. The cubic root of 54325656 is about 378.7346090534.

The spelling of 54325656 in words is "fifty-four million, three hundred twenty-five thousand, six hundred fifty-six".