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47113864 = 2372967433
BaseRepresentation
bin1011001110111…
…0011010001000
310021122122001221
42303232122020
544030120424
64401451424
71111314130
oct263563210
9107578057
1047113864
112465a386
1213940b74
1399b7835
146385ac0
1542099e4
hex2cee688

47113864 has 64 divisors (see below), whose sum is σ = 106243200. Its totient is φ = 19160064.

The previous prime is 47113861. The next prime is 47113897. The reversal of 47113864 is 46831174.

It is a happy number.

47113864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (47113861) 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 15 ways as a sum of consecutive naturals, for example, 108592 + ... + 109024.

It is an arithmetic number, because the mean of its divisors is an integer number (1660050).

Almost surely, 247113864 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 47113864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53121600).

47113864 is an abundant number, since it is smaller than the sum of its proper divisors (59129336).

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

47113864 is a wasteful number, since it uses less digits than its factorization.

47113864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 538 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 47113864 is about 6863.9539625496. The cubic root of 47113864 is about 361.1738023299.

The spelling of 47113864 in words is "forty-seven million, one hundred thirteen thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 29 56 58 67 116 134 203 232 268 406 433 469 536 812 866 938 1624 1732 1876 1943 3031 3464 3752 3886 6062 7772 12124 12557 13601 15544 24248 25114 27202 29011 50228 54404 58022 87899 100456 108808 116044 175798 203077 232088 351596 406154 703192 812308 841319 1624616 1682638 3365276 5889233 6730552 11778466 23556932 47113864