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48663864 = 23321935573
BaseRepresentation
bin1011100110100…
…0110100111000
310101120101021100
42321220310320
544424220424
64455011400
71130431104
oct271506470
9111511240
1048663864
1125518977
1214369b60
13a10b1b2
14666a904
154413dc9
hex2e68d38

48663864 has 48 divisors (see below), whose sum is σ = 138738600. Its totient is φ = 15367104.

The previous prime is 48663829. The next prime is 48663869. The reversal of 48663864 is 46836684.

48663864 is a `hidden beast` number, since 4 + 8 + 6 + 638 + 6 + 4 = 666.

48663864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48663869) 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 11 ways as a sum of consecutive naturals, for example, 16419 + ... + 19154.

Almost surely, 248663864 is an apocalyptic number.

It is an amenable number.

48663864 is an abundant number, since it is smaller than the sum of its proper divisors (90074736).

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

48663864 is a wasteful number, since it uses less digits than its factorization.

48663864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35604 (or 35597 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 48663864 is about 6975.9489677032. The cubic root of 48663864 is about 365.0918990467.

The spelling of 48663864 in words is "forty-eight million, six hundred sixty-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 35573 71146 106719 142292 213438 284584 320157 426876 640314 675887 853752 1280628 1351774 2027661 2561256 2703548 4055322 5407096 6082983 8110644 12165966 16221288 24331932 48663864