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48105040 = 245601313
BaseRepresentation
bin1011011110000…
…0011001010000
310100111222201011
42313200121100
544303330130
64435020304
71122612634
oct267403120
9110458634
1048105040
1125177035
121413a694
139c73a29
146562dc4
15435352a
hex2de0650

48105040 has 20 divisors (see below), whose sum is σ = 111844404. Its totient is φ = 19241984.

The previous prime is 48105011. The next prime is 48105061. The reversal of 48105040 is 4050184.

It can be written as a sum of positive squares in 2 ways, for example, as 34621456 + 13483584 = 5884^2 + 3672^2 .

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

It is a super-3 number, since 3×481050403 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 300577 + ... + 300736.

Almost surely, 248105040 is an apocalyptic number.

48105040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48105040 is an abundant number, since it is smaller than the sum of its proper divisors (63739364).

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

48105040 is a wasteful number, since it uses less digits than its factorization.

48105040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601326 (or 601320 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 48105040 is about 6935.7796966167. The cubic root of 48105040 is about 363.6890231314.

The spelling of 48105040 in words is "forty-eight million, one hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 601313 1202626 2405252 3006565 4810504 6013130 9621008 12026260 24052520 48105040