Search a number
-
+
57796000 = 255314449
BaseRepresentation
bin1101110001111…
…0010110100000
311000202100012121
43130132112200
5104243433000
65422434024
71301154313
oct334362640
9130670177
1057796000
112a695a99
1217432914
13bc87a22
14796697a
155119b1a
hex371e5a0

57796000 has 48 divisors (see below), whose sum is σ = 142014600. Its totient is φ = 23116800.

The previous prime is 57795989. The next prime is 57796003. The reversal of 57796000 is 69775.

57796000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 35856144 + 21939856 = 5988^2 + 4684^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57796003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3225 + ... + 11224.

Almost surely, 257796000 is an apocalyptic number.

57796000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57796000 is an abundant number, since it is smaller than the sum of its proper divisors (84218600).

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

57796000 is a wasteful number, since it uses less digits than its factorization.

57796000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14474 (or 14456 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 34.

The square root of 57796000 is about 7602.3680521269. The cubic root of 57796000 is about 386.6333040312.

The spelling of 57796000 in words is "fifty-seven million, seven hundred ninety-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 14449 28898 57796 72245 115592 144490 231184 288980 361225 462368 577960 722450 1155920 1444900 1806125 2311840 2889800 3612250 5779600 7224500 11559200 14449000 28898000 57796000