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48639240 = 233251319547
BaseRepresentation
bin1011100110001…
…0110100001000
310101112010111100
42321202310020
544422423430
64454301400
71130266236
oct271426410
9111463440
1048639240
1125501421
1214357860
13a0ccc20
146661956
15440b960
hex2e62d08

48639240 has 192 divisors, whose sum is σ = 179524800. Its totient is φ = 11321856.

The previous prime is 48639233. The next prime is 48639257. The reversal of 48639240 is 4293684.

It is a happy number.

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 = 48639195 and 48639204.

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 47 ways as a sum of consecutive naturals, for example, 88647 + ... + 89193.

It is an arithmetic number, because the mean of its divisors is an integer number (935025).

Almost surely, 248639240 is an apocalyptic number.

48639240 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 48639240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89762400).

48639240 is an abundant number, since it is smaller than the sum of its proper divisors (130885560).

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

48639240 is a wasteful number, since it uses less digits than its factorization.

48639240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 48639240 is about 6974.1838232154. The cubic root of 48639240 is about 365.0303096116.

The spelling of 48639240 in words is "forty-eight million, six hundred thirty-nine thousand, two hundred forty".