Search a number
-
+
56032480 = 255731021
BaseRepresentation
bin1101010110111…
…1110011100000
310220102202010001
43111233303200
5103321014410
65320545344
71250161000
oct325576340
9126382101
1056032480
11296a1039
1216922254
13b7bb11a
147628000
154dbc33a
hex356fce0

56032480 has 96 divisors (see below), whose sum is σ = 154526400. Its totient is φ = 19192320.

The previous prime is 56032447. The next prime is 56032489. The reversal of 56032480 is 8423065.

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 (56032489) 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, 54370 + ... + 55390.

It is an arithmetic number, because the mean of its divisors is an integer number (1609650).

Almost surely, 256032480 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 56032480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77263200).

56032480 is an abundant number, since it is smaller than the sum of its proper divisors (98493920).

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

56032480 is a wasteful number, since it uses less digits than its factorization.

56032480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 56032480 is about 7485.4846202500. The cubic root of 56032480 is about 382.6601889313.

The spelling of 56032480 in words is "fifty-six million, thirty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 343 392 490 560 686 784 980 1021 1120 1372 1568 1715 1960 2042 2744 3430 3920 4084 5105 5488 6860 7147 7840 8168 10210 10976 13720 14294 16336 20420 27440 28588 32672 35735 40840 50029 54880 57176 71470 81680 100058 114352 142940 163360 200116 228704 250145 285880 350203 400232 500290 571760 700406 800464 1000580 1143520 1400812 1600928 1751015 2001160 2801624 3502030 4002320 5603248 7004060 8004640 11206496 14008120 28016240 56032480