Search a number
-
+
47982352 = 24112271201
BaseRepresentation
bin1011011100001…
…0011100010000
310100021202102011
42313002130100
544240413402
64432232304
71121562145
oct267023420
9110252364
1047982352
11250a2940
121409b694
139c2cc32
1465303cc
15432bed7
hex2dc2710

47982352 has 40 divisors (see below), whose sum is σ = 101948832. Its totient is φ = 21696000.

The previous prime is 47982307. The next prime is 47982359. The reversal of 47982352 is 25328974.

It is a super-2 number, since 2×479823522 = 4604612206903808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47982359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39352 + ... + 40552.

Almost surely, 247982352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47982352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50974416).

47982352 is an abundant number, since it is smaller than the sum of its proper divisors (53966480).

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

47982352 is a wasteful number, since it uses less digits than its factorization.

47982352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1441 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The square root of 47982352 is about 6926.9294784919. The cubic root of 47982352 is about 363.3795734620.

The spelling of 47982352 in words is "forty-seven million, nine hundred eighty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 227 454 908 1201 1816 2402 2497 3632 4804 4994 9608 9988 13211 19216 19976 26422 39952 52844 105688 211376 272627 545254 1090508 2181016 2998897 4362032 5997794 11995588 23991176 47982352