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53728580 = 22519314561
BaseRepresentation
bin1100110011110…
…1010101000100
310202002200202102
43030331111010
5102223303310
65155331232
71221454043
oct314752504
9122080672
1053728580
1128368094
1215bb0b18
13b192579
1471c855a
154ab48a5
hex333d544

53728580 has 48 divisors (see below), whose sum is σ = 122626560. Its totient is φ = 19699200.

The previous prime is 53728579. The next prime is 53728613. The reversal of 53728580 is 8582735.

53728580 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 (38).

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, 9500 + ... + 14060.

It is an arithmetic number, because the mean of its divisors is an integer number (2554720).

Almost surely, 253728580 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 53728580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61313280).

53728580 is an abundant number, since it is smaller than the sum of its proper divisors (68897980).

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

53728580 is a wasteful number, since it uses less digits than its factorization.

53728580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4620 (or 4618 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 38.

The square root of 53728580 is about 7329.9781718638. The cubic root of 53728580 is about 377.3419773381.

The spelling of 53728580 in words is "fifty-three million, seven hundred twenty-eight thousand, five hundred eighty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 190 310 380 589 620 1178 2356 2945 4561 5890 9122 11780 18244 22805 45610 86659 91220 141391 173318 282782 346636 433295 565564 706955 866590 1413910 1733180 2686429 2827820 5372858 10745716 13432145 26864290 53728580