Search a number
-
+
47017984 = 21213883
BaseRepresentation
bin1011001101011…
…1000000000000
310021110202112211
42303113000000
544014033414
64355431504
71110434446
oct263270000
9107422484
1047017984
11245a4342
12138b5594
139982cc0
14635cb96
1541db3c4
hex2cd7000

47017984 has 52 divisors (see below), whose sum is σ = 101371816. Its totient is φ = 21676032.

The previous prime is 47017981. The next prime is 47018011. The reversal of 47017984 is 48971074.

It is a tau number, because it is divible by the number of its divisors (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47017981) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52807 + ... + 53689.

It is an arithmetic number, because the mean of its divisors is an integer number (1949458).

Almost surely, 247017984 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 47017984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50685908).

47017984 is an abundant number, since it is smaller than the sum of its proper divisors (54353832).

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

47017984 is an equidigital number, since it uses as much as digits as its factorization.

47017984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The square root of 47017984 is about 6856.9660929598. The cubic root of 47017984 is about 360.9286313132.

The spelling of 47017984 in words is "forty-seven million, seventeen thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 883 1024 1664 1766 2048 3328 3532 4096 6656 7064 11479 13312 14128 22958 26624 28256 45916 53248 56512 91832 113024 183664 226048 367328 452096 734656 904192 1469312 1808384 2938624 3616768 5877248 11754496 23508992 47017984