Search a number
-
+
47391968 = 2513373079
BaseRepresentation
bin1011010011001…
…0010011100000
310022011202120002
42310302103200
544113020333
64411435132
71113553001
oct264622340
9108152502
1047391968
112482a318
1213a55aa8
139a842b0
1464191a8
1542620e8
hex2d324e0

47391968 has 48 divisors (see below), whose sum is σ = 103229280. Its totient is φ = 21275136.

The previous prime is 47391961. The next prime is 47391979. The reversal of 47391968 is 86919374.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47391961) 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, 13853 + ... + 16931.

It is an arithmetic number, because the mean of its divisors is an integer number (2150610).

Almost surely, 247391968 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 47391968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51614640).

47391968 is an abundant number, since it is smaller than the sum of its proper divisors (55837312).

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

47391968 is a wasteful number, since it uses less digits than its factorization.

47391968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3139 (or 3131 counting only the distinct ones).

The product of its digits is 326592, while the sum is 47.

The square root of 47391968 is about 6884.1824496450. The cubic root of 47391968 is about 361.8830549263.

The spelling of 47391968 in words is "forty-seven million, three hundred ninety-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 104 148 208 296 416 481 592 962 1184 1924 3079 3848 6158 7696 12316 15392 24632 40027 49264 80054 98528 113923 160108 227846 320216 455692 640432 911384 1280864 1480999 1822768 2961998 3645536 5923996 11847992 23695984 47391968