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53279016 = 23371033079
BaseRepresentation
bin1100101100111…
…1100100101000
310201020212001220
43023033210220
5102114412031
65141542040
71214602260
oct313174450
9121225056
1053279016
112809034a
1215a14920
13b065a5b
14710c7a0
154a26596
hex32cf928

53279016 has 64 divisors (see below), whose sum is σ = 153753600. Its totient is φ = 15069888.

The previous prime is 53278999. The next prime is 53279029. The reversal of 53279016 is 61097235.

53279016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 15765 + ... + 18843.

It is an arithmetic number, because the mean of its divisors is an integer number (2402400).

Almost surely, 253279016 is an apocalyptic number.

53279016 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 53279016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76876800).

53279016 is an abundant number, since it is smaller than the sum of its proper divisors (100474584).

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

53279016 is a wasteful number, since it uses less digits than its factorization.

53279016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3198 (or 3194 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 53279016 is about 7299.2476324619. The cubic root of 53279016 is about 376.2865817273.

The spelling of 53279016 in words is "fifty-three million, two hundred seventy-nine thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 103 168 206 309 412 618 721 824 1236 1442 2163 2472 2884 3079 4326 5768 6158 8652 9237 12316 17304 18474 21553 24632 36948 43106 64659 73896 86212 129318 172424 258636 317137 517272 634274 951411 1268548 1902822 2219959 2537096 3805644 4439918 6659877 7611288 8879836 13319754 17759672 26639508 53279016