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54053216 = 2572953157
BaseRepresentation
bin1100111000110…
…0100101100000
310202201012001222
43032030211200
5102314200331
65210314212
71224305360
oct316144540
9122635058
1054053216
1128569a88
1216128968
13b277269
1472709a0
154b2ab7b
hex338c960

54053216 has 96 divisors (see below), whose sum is σ = 129003840. Its totient is φ = 21805056.

The previous prime is 54053203. The next prime is 54053221. The reversal of 54053216 is 61235045.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344210 + ... + 344366.

It is an arithmetic number, because the mean of its divisors is an integer number (1343790).

Almost surely, 254053216 is an apocalyptic number.

54053216 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 54053216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64501920).

54053216 is an abundant number, since it is smaller than the sum of its proper divisors (74950624).

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

54053216 is a wasteful number, since it uses less digits than its factorization.

54053216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 54053216 is about 7352.0892268797. The cubic root of 54053216 is about 378.1004370903.

The spelling of 54053216 in words is "fifty-four million, fifty-three thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 29 32 53 56 58 106 112 116 157 203 212 224 232 314 371 406 424 464 628 742 812 848 928 1099 1256 1484 1537 1624 1696 2198 2512 2968 3074 3248 4396 4553 5024 5936 6148 6496 8321 8792 9106 10759 11872 12296 16642 17584 18212 21518 24592 31871 33284 35168 36424 43036 49184 58247 63742 66568 72848 86072 116494 127484 133136 145696 172144 232988 241309 254968 266272 344288 465976 482618 509936 931952 965236 1019872 1689163 1863904 1930472 3378326 3860944 6756652 7721888 13513304 27026608 54053216