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54293216 = 2559149193
BaseRepresentation
bin1100111100011…
…1001011100000
310210011101021212
43033013023200
5102344340331
65215405252
71226325155
oct317071340
9123141255
1054293216
112871332a
1216223828
13b32c583
1472d422c
154b76d2b
hex33c72e0

54293216 has 48 divisors (see below), whose sum is σ = 109998000. Its totient is φ = 26370048.

The previous prime is 54293207. The next prime is 54293231. The reversal of 54293216 is 61239245.

It is a happy number.

54293216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 281216 + ... + 281408.

It is an arithmetic number, because the mean of its divisors is an integer number (2291625).

Almost surely, 254293216 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 54293216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54999000).

54293216 is an abundant number, since it is smaller than the sum of its proper divisors (55704784).

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

54293216 is a wasteful number, since it uses less digits than its factorization.

54293216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 403 counting only the distinct ones).

The product of its digits is 12960, while the sum is 32.

The square root of 54293216 is about 7368.3930405483. The cubic root of 54293216 is about 378.6592082333.

The spelling of 54293216 in words is "fifty-four million, two hundred ninety-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 59 118 149 193 236 298 386 472 596 772 944 1192 1544 1888 2384 3088 4768 6176 8791 11387 17582 22774 28757 35164 45548 57514 70328 91096 115028 140656 182192 230056 281312 364384 460112 920224 1696663 3393326 6786652 13573304 27146608 54293216