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54082912 = 2513294483
BaseRepresentation
bin1100111001001…
…1110101100000
310202202200210211
43032103311200
5102321123122
65211103504
71224461062
oct316236540
9122680724
1054082912
112858a324
1216141b94
13b287930
14727b732
154b34877
hex3393d60

54082912 has 48 divisors (see below), whose sum is σ = 118646640. Its totient is φ = 24095232.

The previous prime is 54082909. The next prime is 54082927. The reversal of 54082912 is 21928045.

54082912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×540829122 = 5849922740799488, which contains 22 as substring.

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, 9823 + ... + 14305.

It is an arithmetic number, because the mean of its divisors is an integer number (2471805).

Almost surely, 254082912 is an apocalyptic number.

54082912 is a gapful number since it is divisible by the number (52) 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 54082912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59323320).

54082912 is an abundant number, since it is smaller than the sum of its proper divisors (64563728).

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

54082912 is a wasteful number, since it uses less digits than its factorization.

54082912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4535 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 54082912 is about 7354.1085115736. The cubic root of 54082912 is about 378.1696652563.

The spelling of 54082912 in words is "fifty-four million, eighty-two thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 754 928 1508 3016 4483 6032 8966 12064 17932 35864 58279 71728 116558 130007 143456 233116 260014 466232 520028 932464 1040056 1690091 1864928 2080112 3380182 4160224 6760364 13520728 27041456 54082912