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48433905 = 3251382793
BaseRepresentation
bin1011100011000…
…0101011110001
310101010200211100
42320300223301
544344341110
64450035013
71125452502
oct270605361
9111120740
1048433905
1125381123
1214278a69
13a05a620
14660aba9
1543babc0
hex2e30af1

48433905 has 24 divisors (see below), whose sum is σ = 90411048. Its totient is φ = 23844096.

The previous prime is 48433789. The next prime is 48433921. The reversal of 48433905 is 50933484.

48433905 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 4 ways, for example, as 5308416 + 43125489 = 2304^2 + 6567^2 .

It is not a de Polignac number, because 48433905 - 211 = 48431857 is a prime.

It is a super-3 number, since 3×484339053 (a number of 24 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 48433905.

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 23 ways as a sum of consecutive naturals, for example, 40812 + ... + 41981.

It is an arithmetic number, because the mean of its divisors is an integer number (3767127).

Almost surely, 248433905 is an apocalyptic number.

48433905 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

48433905 is a deficient number, since it is larger than the sum of its proper divisors (41977143).

48433905 is a wasteful number, since it uses less digits than its factorization.

48433905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82817 (or 82814 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 48433905 is about 6959.4471763208. The cubic root of 48433905 is about 364.5159154651.

The spelling of 48433905 in words is "forty-eight million, four hundred thirty-three thousand, nine hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 82793 248379 413965 745137 1076309 1241895 3228927 3725685 5381545 9686781 16144635 48433905