Search a number
-
+
73220576 = 25111316001
BaseRepresentation
bin1000101110101…
…00000111100000
312002202222202012
410113110013200
5122221024301
611133212052
71546236032
oct427240740
9162688665
1073220576
1138370780
1220631028
13122286b0
149a1dc52
156664ebb
hex45d41e0

73220576 has 48 divisors (see below), whose sum is σ = 169365168. Its totient is φ = 30720000.

The previous prime is 73220551. The next prime is 73220579. The reversal of 73220576 is 67502237.

It is a happy number.

It is a super-2 number, since 2×732205762 = 10722505499543552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73220579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3425 + ... + 12576.

It is an arithmetic number, because the mean of its divisors is an integer number (3528441).

Almost surely, 273220576 is an apocalyptic number.

It is an amenable number.

73220576 is an abundant number, since it is smaller than the sum of its proper divisors (96144592).

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

73220576 is a wasteful number, since it uses less digits than its factorization.

73220576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16035 (or 16027 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 73220576 is about 8556.9022432186. The cubic root of 73220576 is about 418.3544378948.

The spelling of 73220576 in words is "seventy-three million, two hundred twenty thousand, five hundred seventy-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1144 2288 4576 16001 32002 64004 128008 176011 208013 256016 352022 416026 512032 704044 832052 1408088 1664104 2288143 2816176 3328208 4576286 5632352 6656416 9152572 18305144 36610288 73220576