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53066544 = 24319311877
BaseRepresentation
bin1100101001101…
…1101100110000
310200212001121120
43022123230300
5102041112134
65133222240
71213025646
oct312335460
9120761546
1053066544
1127a55753
1215931980
13acc012b
147095196
1549d3649
hex329bb30

53066544 has 80 divisors (see below), whose sum is σ = 149038080. Its totient is φ = 16208640.

The previous prime is 53066509. The next prime is 53066579. The reversal of 53066544 is 44566035.

53066544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53066509) and next prime (53066579).

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, 27334 + ... + 29210.

It is an arithmetic number, because the mean of its divisors is an integer number (1862976).

Almost surely, 253066544 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 53066544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74519040).

53066544 is an abundant number, since it is smaller than the sum of its proper divisors (95971536).

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

53066544 is a wasteful number, since it uses less digits than its factorization.

53066544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 53066544 is about 7284.6787163196. The cubic root of 53066544 is about 375.7857161395.

The spelling of 53066544 in words is "fifty-three million, sixty-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 93 114 124 152 186 228 248 304 372 456 496 589 744 912 1178 1488 1767 1877 2356 3534 3754 4712 5631 7068 7508 9424 11262 14136 15016 22524 28272 30032 35663 45048 58187 71326 90096 106989 116374 142652 174561 213978 232748 285304 349122 427956 465496 570608 698244 855912 930992 1105553 1396488 1711824 2211106 2792976 3316659 4422212 6633318 8844424 13266636 17688848 26533272 53066544