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53729820 = 22325319629
BaseRepresentation
bin1100110011110…
…1101000011100
310202002202110100
43030331220130
5102223323240
65155341100
71221460464
oct314755034
9122082410
1053729820
1128369011
1215bb1790
13b192cc1
1471c8ba4
154ab4e30
hex333da1c

53729820 has 72 divisors (see below), whose sum is σ = 168255360. Its totient is φ = 13864320.

The previous prime is 53729783. The next prime is 53729839. The reversal of 53729820 is 2892735.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 766 + ... + 10394.

It is an arithmetic number, because the mean of its divisors is an integer number (2336880).

Almost surely, 253729820 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 53729820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84127680).

53729820 is an abundant number, since it is smaller than the sum of its proper divisors (114525540).

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

53729820 is a wasteful number, since it uses less digits than its factorization.

53729820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9675 (or 9670 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 53729820 is about 7330.0627555295. The cubic root of 53729820 is about 377.3448802031.

The spelling of 53729820 in words is "fifty-three million, seven hundred twenty-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 9629 19258 28887 38516 48145 57774 86661 96290 115548 144435 173322 192580 288870 298499 346644 433305 577740 596998 866610 895497 1193996 1492495 1733220 1790994 2686491 2984990 3581988 4477485 5372982 5969980 8954970 10745964 13432455 17909940 26864910 53729820