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54428856 = 23323151653
BaseRepresentation
bin1100111110100…
…0010010111000
310210102021100120
43033220102320
5102413210411
65222333240
71230431466
oct317502270
9123367316
1054428856
11287a6229
121628a220
13b379231
14732b836
154ba2106
hex33e84b8

54428856 has 64 divisors (see below), whose sum is σ = 143147520. Its totient is φ = 17212800.

The previous prime is 54428837. The next prime is 54428861. The reversal of 54428856 is 65882445.

54428856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 83026 + ... + 83678.

It is an arithmetic number, because the mean of its divisors is an integer number (2236680).

Almost surely, 254428856 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 54428856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71573760).

54428856 is an abundant number, since it is smaller than the sum of its proper divisors (88718664).

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

54428856 is a wasteful number, since it uses less digits than its factorization.

54428856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 832 counting only the distinct ones).

The product of its digits is 307200, while the sum is 42.

The square root of 54428856 is about 7377.5914768981. The cubic root of 54428856 is about 378.9742790425.

The spelling of 54428856 in words is "fifty-four million, four hundred twenty-eight thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 151 184 276 302 453 552 604 653 906 1208 1306 1812 1959 2612 3473 3624 3918 5224 6946 7836 10419 13892 15019 15672 20838 27784 30038 41676 45057 60076 83352 90114 98603 120152 180228 197206 295809 360456 394412 591618 788824 1183236 2267869 2366472 4535738 6803607 9071476 13607214 18142952 27214428 54428856