Search a number
-
+
47883264 = 21031113109
BaseRepresentation
bin1011011010101…
…0010000000000
310100002201111020
42312222100000
544224231024
64430145440
71121000232
oct266522000
9110081436
1047883264
1125035450
1214052280
139bc6ac0
146506252
15430c979
hex2daa400

47883264 has 176 divisors, whose sum is σ = 151314240. Its totient is φ = 13271040.

The previous prime is 47883257. The next prime is 47883289. The reversal of 47883264 is 46238874.

It is a tau number, because it is divible by the number of its divisors (176).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 439242 + ... + 439350.

It is an arithmetic number, because the mean of its divisors is an integer number (859740).

Almost surely, 247883264 is an apocalyptic number.

47883264 is a gapful number since it is divisible by the number (44) 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 47883264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75657120).

47883264 is an abundant number, since it is smaller than the sum of its proper divisors (103430976).

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

47883264 is a wasteful number, since it uses less digits than its factorization.

47883264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 138 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 47883264 is about 6919.7734066948. The cubic root of 47883264 is about 363.1292635892.

The spelling of 47883264 in words is "forty-seven million, eight hundred eighty-three thousand, two hundred sixty-four".