Search a number
-
+
85800704 = 281130469
BaseRepresentation
bin1010001110100…
…11011100000000
312222110010102212
411013103130000
5133431110304
612303001252
72061202553
oct507233400
9188403385
1085800704
1144483380
1224899228
1314a11762
14b57669a
1577ec66e
hex51d3700

85800704 has 36 divisors (see below), whose sum is σ = 186842040. Its totient is φ = 38999040.

The previous prime is 85800703. The next prime is 85800707. The reversal of 85800704 is 40700858.

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 (85800703) 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 3 ways as a sum of consecutive naturals, for example, 12419 + ... + 18050.

Almost surely, 285800704 is an apocalyptic number.

It is an amenable number.

85800704 is an abundant number, since it is smaller than the sum of its proper divisors (101041336).

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

85800704 is a wasteful number, since it uses less digits than its factorization.

85800704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30496 (or 30482 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 85800704 is about 9262.8669427991. The cubic root of 85800704 is about 441.0592660342.

The spelling of 85800704 in words is "eighty-five million, eight hundred thousand, seven hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 30469 60938 121876 243752 335159 487504 670318 975008 1340636 1950016 2681272 3900032 5362544 7800064 10725088 21450176 42900352 85800704