Search a number
-
+
51728320 = 265723299
BaseRepresentation
bin1100010101010…
…0111111000000
310121100001220201
43011110333000
5101220301240
65044414544
71165453300
oct305247700
9117301821
1051728320
1127221286
12153a7454
13a941c97
146c27600
15481bd9a
hex3154fc0

51728320 has 84 divisors (see below), whose sum is σ = 143332200. Its totient is φ = 17730048.

The previous prime is 51728249. The next prime is 51728329. The reversal of 51728320 is 2382715.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51728329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14031 + ... + 17329.

Almost surely, 251728320 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 51728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71666100).

51728320 is an abundant number, since it is smaller than the sum of its proper divisors (91603880).

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

51728320 is a wasteful number, since it uses less digits than its factorization.

51728320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3330 (or 3313 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 51728320 is about 7192.2402629501. The cubic root of 51728320 is about 372.5999491563.

The spelling of 51728320 in words is "fifty-one million, seven hundred twenty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 392 448 490 560 784 980 1120 1568 1960 2240 3136 3299 3920 6598 7840 13196 15680 16495 23093 26392 32990 46186 52784 65980 92372 105568 115465 131960 161651 184744 211136 230930 263920 323302 369488 461860 527840 646604 738976 808255 923720 1055680 1293208 1477952 1616510 1847440 2586416 3233020 3694880 5172832 6466040 7389760 10345664 12932080 25864160 51728320