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47730640 = 245596633
BaseRepresentation
bin1011011000010…
…0111111010000
310022210222010111
42312010333100
544204340030
64423011104
71116463246
oct266047720
9108728114
1047730640
1124a40811
1213b99a94
139b724a9
1464a6796
1542cc62a
hex2d84fd0

47730640 has 20 divisors (see below), whose sum is σ = 110973924. Its totient is φ = 19092224.

The previous prime is 47730623. The next prime is 47730643. The reversal of 47730640 is 4603774.

47730640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11778624 + 35952016 = 3432^2 + 5996^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47730643) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 298237 + ... + 298396.

Almost surely, 247730640 is an apocalyptic number.

47730640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47730640 is an abundant number, since it is smaller than the sum of its proper divisors (63243284).

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

47730640 is a wasteful number, since it uses less digits than its factorization.

47730640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596646 (or 596640 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The square root of 47730640 is about 6908.7364980870. The cubic root of 47730640 is about 362.7430379701.

The spelling of 47730640 in words is "forty-seven million, seven hundred thirty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 596633 1193266 2386532 2983165 4773064 5966330 9546128 11932660 23865320 47730640