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53141868 = 223213234937
BaseRepresentation
bin1100101010111…
…0000101101100
310200222212221100
43022232011230
5102101014433
65135003100
71213461363
oct312560554
9120885840
1053141868
1127aa72aa
1215969490
13b0184c0
1470b47da
1549eab13
hex32ae16c

53141868 has 72 divisors (see below), whose sum is σ = 150984288. Its totient is φ = 15637248.

The previous prime is 53141861. The next prime is 53141873. The reversal of 53141868 is 86814135.

53141868 is a `hidden beast` number, since 531 + 41 + 86 + 8 = 666.

53141868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (53141861) 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 23 ways as a sum of consecutive naturals, for example, 8296 + ... + 13232.

It is an arithmetic number, because the mean of its divisors is an integer number (2097004).

Almost surely, 253141868 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 53141868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75492144).

53141868 is an abundant number, since it is smaller than the sum of its proper divisors (97842420).

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

53141868 is a wasteful number, since it uses less digits than its factorization.

53141868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4983 (or 4978 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 53141868 is about 7289.8469119728. The cubic root of 53141868 is about 375.9634320103.

The spelling of 53141868 in words is "fifty-three million, one hundred forty-one thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 299 414 468 598 828 897 1196 1794 2691 3588 4937 5382 9874 10764 14811 19748 29622 44433 59244 64181 88866 113551 128362 177732 192543 227102 256724 340653 385086 454204 577629 681306 770172 1021959 1155258 1362612 1476163 2043918 2310516 2952326 4087836 4428489 5904652 8856978 13285467 17713956 26570934 53141868