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48838000 = 245324419
BaseRepresentation
bin1011101001001…
…1010101110000
310101220020010211
42322103111300
5100000304000
64502433504
71132054561
oct272232560
9111806124
1048838000
1125627792
1214432894
13a16c533
1466b4168
15444a7ba
hex2e93570

48838000 has 40 divisors (see below), whose sum is σ = 118095120. Its totient is φ = 19534400.

The previous prime is 48837973. The next prime is 48838007. The reversal of 48838000 is 83884.

48838000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48838007) 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 7 ways as a sum of consecutive naturals, for example, 10210 + ... + 14209.

It is an arithmetic number, because the mean of its divisors is an integer number (2952378).

Almost surely, 248838000 is an apocalyptic number.

48838000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48838000 is an abundant number, since it is smaller than the sum of its proper divisors (69257120).

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

48838000 is a wasteful number, since it uses less digits than its factorization.

48838000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24442 (or 24426 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 48838000 is about 6988.4189914458. The cubic root of 48838000 is about 365.5268553386.

The spelling of 48838000 in words is "forty-eight million, eight hundred thirty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 24419 48838 97676 122095 195352 244190 390704 488380 610475 976760 1220950 1953520 2441900 3052375 4883800 6104750 9767600 12209500 24419000 48838000