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53127738 = 2343171149
BaseRepresentation
bin1100101010101…
…0101000111010
310200222011120000
43022222220322
5102100041423
65134413430
71213402236
oct312525072
9120864500
1053127738
1127a97724
1215961276
13b011c41
1470ad5c6
1549e6843
hex32aaa3a

53127738 has 80 divisors (see below), whose sum is σ = 125452800. Its totient is φ = 16783200.

The previous prime is 53127733. The next prime is 53127751. The reversal of 53127738 is 83772135.

53127738 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (53127733) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 356488 + ... + 356636.

It is an arithmetic number, because the mean of its divisors is an integer number (1568160).

Almost surely, 253127738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53127738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62726400).

53127738 is an abundant number, since it is smaller than the sum of its proper divisors (72325062).

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

53127738 is a wasteful number, since it uses less digits than its factorization.

53127738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 256 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 53127738 is about 7288.8776913871. The cubic root of 53127738 is about 375.9301071612.

It can be divided in two parts, 531 and 27738, that multiplied together give a triangular number (14728878 = T5427).

The spelling of 53127738 in words is "fifty-three million, one hundred twenty-seven thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 31 54 62 71 81 93 142 149 162 186 213 279 298 426 447 558 639 837 894 1278 1341 1674 1917 2201 2511 2682 3834 4023 4402 4619 5022 5751 6603 8046 9238 10579 11502 12069 13206 13857 19809 21158 24138 27714 31737 39618 41571 59427 63474 83142 95211 118854 124713 178281 190422 249426 285633 327949 356562 374139 571266 655898 748278 856899 983847 1713798 1967694 2951541 5903082 8854623 17709246 26563869 53127738