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53515242 = 2341159509
BaseRepresentation
bin1100110000100…
…1001111101010
310201200212010000
43030021033222
5102144441432
65151003430
71216605054
oct314111752
9121625100
1053515242
1128231880
1215b09576
13b119431
1471708d4
154a7157c
hex33093ea

53515242 has 80 divisors (see below), whose sum is σ = 133293600. Its totient is φ = 15910560.

The previous prime is 53515223. The next prime is 53515249. The reversal of 53515242 is 24251535.

It is a happy number.

53515242 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 2×535152422 = 5727762252637128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (53515249) 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, 104884 + ... + 105392.

It is an arithmetic number, because the mean of its divisors is an integer number (1666170).

Almost surely, 253515242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53515242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66646800).

53515242 is an abundant number, since it is smaller than the sum of its proper divisors (79778358).

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

53515242 is a wasteful number, since it uses less digits than its factorization.

53515242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 584 counting only the distinct ones).

The product of its digits is 6000, while the sum is 27.

The square root of 53515242 is about 7315.4112666343. The cubic root of 53515242 is about 376.8418824393.

Adding to 53515242 its reverse (24251535), we get a palindrome (77766777).

The spelling of 53515242 in words is "fifty-three million, five hundred fifteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 59 66 81 99 118 162 177 198 297 354 509 531 594 649 891 1018 1062 1298 1527 1593 1782 1947 3054 3186 3894 4581 4779 5599 5841 9162 9558 11198 11682 13743 16797 17523 27486 30031 33594 35046 41229 50391 52569 60062 82458 90093 100782 105138 151173 180186 270279 302346 330341 453519 540558 660682 810837 907038 991023 1621674 1982046 2432511 2973069 4865022 5946138 8919207 17838414 26757621 53515242