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47130336 = 2535111929
BaseRepresentation
bin1011001111001…
…0011011100000
310021200110200000
42303302123200
544031132321
64402100000
71111413141
oct263623340
9107613600
1047130336
11246707a0
121394a600
1399c2196
14638bac8
15420e826
hex2cf26e0

47130336 has 288 divisors, whose sum is σ = 165110400. Its totient is φ = 13063680.

The previous prime is 47130287. The next prime is 47130353. The reversal of 47130336 is 63303174.

It is a happy number.

47130336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1625170 + ... + 1625198.

It is an arithmetic number, because the mean of its divisors is an integer number (573300).

Almost surely, 247130336 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 47130336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

47130336 is an abundant number, since it is smaller than the sum of its proper divisors (117980064).

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

47130336 is a wasteful number, since it uses less digits than its factorization.

47130336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 47130336 is about 6865.1537491887. The cubic root of 47130336 is about 361.2158887504.

The spelling of 47130336 in words is "forty-seven million, one hundred thirty thousand, three hundred thirty-six".