Search a number
-
+
47193200 = 2452127929
BaseRepresentation
bin1011010000000…
…1110001110000
310021210122220022
42310001301300
544040140300
64403303012
71112064335
oct264016160
9107718808
1047193200
1124703a4a
121397aa68
139a14992
1463a698c
154223285
hex2d01c70

47193200 has 60 divisors (see below), whose sum is σ = 114397440. Its totient is φ = 18708480.

The previous prime is 47193197. The next prime is 47193221. The reversal of 47193200 is 239174.

It is a self number, because there is not a number n which added to its sum of digits gives 47193200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50336 + ... + 51264.

It is an arithmetic number, because the mean of its divisors is an integer number (1906624).

Almost surely, 247193200 is an apocalyptic number.

47193200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47193200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57198720).

47193200 is an abundant number, since it is smaller than the sum of its proper divisors (67204240).

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

47193200 is a wasteful number, since it uses less digits than its factorization.

47193200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 47193200 is about 6869.7307079681. The cubic root of 47193200 is about 361.3764179625.

The spelling of 47193200 in words is "forty-seven million, one hundred ninety-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 127 200 254 400 508 635 929 1016 1270 1858 2032 2540 3175 3716 4645 5080 6350 7432 9290 10160 12700 14864 18580 23225 25400 37160 46450 50800 74320 92900 117983 185800 235966 371600 471932 589915 943864 1179830 1887728 2359660 2949575 4719320 5899150 9438640 11798300 23596600 47193200