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48862440 = 2335511457
BaseRepresentation
bin1011101001100…
…1010011101000
310101221110200000
42322121103220
5100002044230
64503143000
71132216044
oct272312350
9111843600
1048862440
1125644090
1214444a60
13a17a6b3
1466bd024
154452b60
hex2e994e8

48862440 has 192 divisors, whose sum is σ = 180048960. Its totient is φ = 11819520.

The previous prime is 48862423. The next prime is 48862441. The reversal of 48862440 is 4426884.

48862440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48862395 and 48862404.

It is not an unprimeable number, because it can be changed into a prime (48862441) 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 47 ways as a sum of consecutive naturals, for example, 106692 + ... + 107148.

It is an arithmetic number, because the mean of its divisors is an integer number (937755).

Almost surely, 248862440 is an apocalyptic number.

48862440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48862440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90024480).

48862440 is an abundant number, since it is smaller than the sum of its proper divisors (131186520).

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

48862440 is a wasteful number, since it uses less digits than its factorization.

48862440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 48862440 is about 6990.1673799702. The cubic root of 48862440 is about 365.5878187043.

Subtracting from 48862440 its reverse (4426884), we obtain a square (44435556 = 66662).

The spelling of 48862440 in words is "forty-eight million, eight hundred sixty-two thousand, four hundred forty".