Search a number
-
+
47252000 = 255311813
BaseRepresentation
bin1011010001000…
…0001000100000
310021220122120002
42310100020200
544044031000
64404435132
71112430635
oct264201040
9107818502
1047252000
1124744144
12139a8aa8
139a35683
1463c018c
1542358d5
hex2d10220

47252000 has 48 divisors (see below), whose sum is σ = 116107992. Its totient is φ = 18899200.

The previous prime is 47251999. The next prime is 47252021. The reversal of 47252000 is 25274.

It can be written as a sum of positive squares in 4 ways, for example, as 11587216 + 35664784 = 3404^2 + 5972^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1907 + ... + 9906.

Almost surely, 247252000 is an apocalyptic number.

47252000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47252000 is an abundant number, since it is smaller than the sum of its proper divisors (68855992).

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

47252000 is a wasteful number, since it uses less digits than its factorization.

47252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11838 (or 11820 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 47252000 is about 6874.0090194878. The cubic root of 47252000 is about 361.5264403845.

Adding to 47252000 its reverse (25274), we get a palindrome (47277274).

The spelling of 47252000 in words is "forty-seven million, two hundred fifty-two 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 11813 23626 47252 59065 94504 118130 189008 236260 295325 378016 472520 590650 945040 1181300 1476625 1890080 2362600 2953250 4725200 5906500 9450400 11813000 23626000 47252000