Search a number
-
+
47275968 = 263733373
BaseRepresentation
bin1011010001010…
…1111111000000
310021221212102210
42310111333000
544100312333
64405142120
71112560545
oct264257700
9107855383
1047275968
1124760153
12139ba940
139a4355c
1463c8bcc
15423ca63
hex2d15fc0

47275968 has 56 divisors (see below), whose sum is σ = 126835408. Its totient is φ = 15538176.

The previous prime is 47275967. The next prime is 47275981. The reversal of 47275968 is 86957274.

47275968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47275967) 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, 12330 + ... + 15702.

It is an arithmetic number, because the mean of its divisors is an integer number (2264918).

Almost surely, 247275968 is an apocalyptic number.

47275968 is a gapful number since it is divisible by the number (48) 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 47275968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63417704).

47275968 is an abundant number, since it is smaller than the sum of its proper divisors (79559440).

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

47275968 is a wasteful number, since it uses less digits than its factorization.

47275968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3461 (or 3451 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 47275968 is about 6875.7521770349. The cubic root of 47275968 is about 361.5875566763.

The spelling of 47275968 in words is "forty-seven million, two hundred seventy-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 146 192 219 292 438 584 876 1168 1752 2336 3373 3504 4672 6746 7008 10119 13492 14016 20238 26984 40476 53968 80952 107936 161904 215872 246229 323808 492458 647616 738687 984916 1477374 1969832 2954748 3939664 5909496 7879328 11818992 15758656 23637984 47275968