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53685380 = 22572291889
BaseRepresentation
bin1100110011001…
…0110010000100
310202000111111102
43030302302010
5102220413010
65154355232
71221214100
oct314626204
9122014442
1053685380
1128338691
1215b8bb18
13b1789c8
1471b6900
154aa6ba5
hex3332c84

53685380 has 72 divisors (see below), whose sum is σ = 135739800. Its totient is φ = 17762304.

The previous prime is 53685377. The next prime is 53685391. The reversal of 53685380 is 8358635.

It can be written as a sum of positive squares in 4 ways, for example, as 5466244 + 48219136 = 2338^2 + 6944^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27476 + ... + 29364.

It is an arithmetic number, because the mean of its divisors is an integer number (1885275).

Almost surely, 253685380 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 53685380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67869900).

53685380 is an abundant number, since it is smaller than the sum of its proper divisors (82054420).

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

53685380 is a wasteful number, since it uses less digits than its factorization.

53685380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 53685380 is about 7327.0307765151. The cubic root of 53685380 is about 377.2408173700.

The spelling of 53685380 in words is "fifty-three million, six hundred eighty-five thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 58 70 98 116 140 145 196 203 245 290 406 490 580 812 980 1015 1421 1889 2030 2842 3778 4060 5684 7105 7556 9445 13223 14210 18890 26446 28420 37780 52892 54781 66115 92561 109562 132230 185122 219124 264460 273905 370244 383467 462805 547810 766934 925610 1095620 1533868 1851220 1917335 2684269 3834670 5368538 7669340 10737076 13421345 26842690 53685380