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53730432 = 273372221
BaseRepresentation
bin1100110011110…
…1110010000000
310202002210022000
43030331302000
5102223333212
65155344000
71221462330
oct314756200
9122083260
1053730432
1128369518
1215bb2000
13b193372
1471c90c0
154ab51dc
hex333dc80

53730432 has 128 divisors (see below), whose sum is σ = 181315200. Its totient is φ = 15344640.

The previous prime is 53730419. The next prime is 53730433. The reversal of 53730432 is 23403735.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 53730396 and 53730405.

It is not an unprimeable number, because it can be changed into a prime (53730433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23082 + ... + 25302.

It is an arithmetic number, because the mean of its divisors is an integer number (1416525).

Almost surely, 253730432 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 53730432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90657600).

53730432 is an abundant number, since it is smaller than the sum of its proper divisors (127584768).

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

53730432 is a wasteful number, since it uses less digits than its factorization.

53730432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2233 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 53730432 is about 7330.1045013015. The cubic root of 53730432 is about 377.3463128910.

The spelling of 53730432 in words is "fifty-three million, seven hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2221 2688 3024 3456 4032 4442 6048 6663 8064 8884 12096 13326 15547 17768 19989 24192 26652 31094 35536 39978 46641 53304 59967 62188 71072 79956 93282 106608 119934 124376 139923 142144 159912 186564 213216 239868 248752 279846 284288 319824 373128 419769 426432 479736 497504 559692 639648 746256 839538 852864 959472 995008 1119384 1279296 1492512 1679076 1918944 1990016 2238768 2558592 2985024 3358152 3837888 4477536 5970048 6716304 7675776 8955072 13432608 17910144 26865216 53730432