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48837940 = 225173792
BaseRepresentation
bin1011101001001…
…1010100110100
310101220020001121
42322103110310
5100000303230
64502433324
71132054444
oct272232464
9111806047
1048837940
1125627738
1214432844
13a16c4b8
1466b4124
15444a77a
hex2e93534

48837940 has 36 divisors (see below), whose sum is σ = 108879876. Its totient is φ = 18337536.

The previous prime is 48837937. The next prime is 48837941. The reversal of 48837940 is 4973884.

48837940 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 2 ways, for example, as 28153636 + 20684304 = 5306^2 + 4548^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48837941) 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, 128671 + ... + 129049.

It is an arithmetic number, because the mean of its divisors is an integer number (3024441).

Almost surely, 248837940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48837940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54439938).

48837940 is an abundant number, since it is smaller than the sum of its proper divisors (60041936).

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

48837940 is a wasteful number, since it uses less digits than its factorization.

48837940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 48837940 is about 6988.4146986280. The cubic root of 48837940 is about 365.5267056490.

The spelling of 48837940 in words is "forty-eight million, eight hundred thirty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 379 758 1516 1895 3790 6443 7580 12886 25772 32215 64430 128860 143641 287282 574564 718205 1436410 2441897 2872820 4883794 9767588 12209485 24418970 48837940