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48645792 = 2533136171
BaseRepresentation
bin1011100110010…
…0011010100000
310101112110111000
42321210122200
544423131132
64454352000
71130324316
oct271443240
9111473430
1048645792
1125506338
121435b600
13a102bc0
1466640b6
15440d87c
hex2e646a0

48645792 has 192 divisors, whose sum is σ = 157489920. Its totient is φ = 14515200.

The previous prime is 48645781. The next prime is 48645797. The reversal of 48645792 is 29754684.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48645797) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 685117 + ... + 685187.

It is an arithmetic number, because the mean of its divisors is an integer number (820260).

Almost surely, 248645792 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 48645792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78744960).

48645792 is an abundant number, since it is smaller than the sum of its proper divisors (108844128).

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

48645792 is a wasteful number, since it uses less digits than its factorization.

48645792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 150 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 48645792 is about 6974.6535397825. The cubic root of 48645792 is about 365.0466994730.

The spelling of 48645792 in words is "forty-eight million, six hundred forty-five thousand, seven hundred ninety-two".