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47343968 = 257241877
BaseRepresentation
bin1011010010011…
…0100101100000
310022002022201022
42310212211200
544110001333
64410425012
71113263030
oct264464540
9108068638
1047343968
11247a7251
1213a32168
139a684a9
1464058c0
154252c98
hex2d26960

47343968 has 48 divisors (see below), whose sum is σ = 107087904. Its totient is φ = 20183040.

The previous prime is 47343943. The next prime is 47343977. The reversal of 47343968 is 86934374.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 53546 + ... + 54422.

It is an arithmetic number, because the mean of its divisors is an integer number (2230998).

Almost surely, 247343968 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 47343968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53543952).

47343968 is an abundant number, since it is smaller than the sum of its proper divisors (59743936).

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

47343968 is a wasteful number, since it uses less digits than its factorization.

47343968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1127 counting only the distinct ones).

The product of its digits is 435456, while the sum is 44.

The square root of 47343968 is about 6880.6953137020. The cubic root of 47343968 is about 361.7608383350.

The spelling of 47343968 in words is "forty-seven million, three hundred forty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 241 482 877 964 1687 1754 1928 3374 3508 3856 6139 6748 7016 7712 12278 13496 14032 24556 26992 28064 49112 53984 98224 196448 211357 422714 845428 1479499 1690856 2958998 3381712 5917996 6763424 11835992 23671984 47343968