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48633141 = 31719311619
BaseRepresentation
bin1011100110000…
…1010100110101
310101111211010110
42321201110311
544422230031
64454213233
71130242404
oct271412465
9111454113
1048633141
11254a7887
1214354219
13a0ca20b
14665d63b
154409c46
hex2e61535

48633141 has 32 divisors (see below), whose sum is σ = 74649600. Its totient is φ = 27959040.

The previous prime is 48633139. The next prime is 48633187. The reversal of 48633141 is 14133684.

48633141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 48633141 - 21 = 48633139 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 48633099 and 48633108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48633131) 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 31 ways as a sum of consecutive naturals, for example, 29230 + ... + 30848.

It is an arithmetic number, because the mean of its divisors is an integer number (2332800).

Almost surely, 248633141 is an apocalyptic number.

It is an amenable number.

48633141 is a deficient number, since it is larger than the sum of its proper divisors (26016459).

48633141 is a wasteful number, since it uses less digits than its factorization.

48633141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689.

The product of its digits is 6912, while the sum is 30.

The square root of 48633141 is about 6973.7465540411. The cubic root of 48633141 is about 365.0150516092.

The spelling of 48633141 in words is "forty-eight million, six hundred thirty-three thousand, one hundred forty-one".

Divisors: 1 3 17 19 31 51 57 93 323 527 589 969 1581 1619 1767 4857 10013 27523 30039 30761 50189 82569 92283 150567 522937 853213 953591 1568811 2559639 2860773 16211047 48633141