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48636944 = 2429372833
BaseRepresentation
bin1011100110001…
…0010000010000
310101112000100022
42321202100100
544422340234
64454243012
71130256446
oct271422020
9111460308
1048636944
11254aa724
1214356468
13a0cbb75
146660b96
15440ae2e
hex2e62410

48636944 has 40 divisors (see below), whose sum is σ = 100153560. Its totient is φ = 22837248.

The previous prime is 48636919. The next prime is 48636953. The reversal of 48636944 is 44963684.

It can be written as a sum of positive squares in 4 ways, for example, as 14531344 + 34105600 = 3812^2 + 5840^2 .

It is a junction number, because it is equal to n+sod(n) for n = 48636895 and 48636904.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15752 + ... + 18584.

It is an arithmetic number, because the mean of its divisors is an integer number (2503839).

Almost surely, 248636944 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 48636944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50076780).

48636944 is an abundant number, since it is smaller than the sum of its proper divisors (51516616).

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

48636944 is a wasteful number, since it uses less digits than its factorization.

48636944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907 (or 2901 counting only the distinct ones).

The product of its digits is 497664, while the sum is 44.

The square root of 48636944 is about 6974.0192141978. The cubic root of 48636944 is about 365.0245658077.

The spelling of 48636944 in words is "forty-eight million, six hundred thirty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 29 37 58 74 116 148 232 296 464 592 1073 2146 2833 4292 5666 8584 11332 17168 22664 45328 82157 104821 164314 209642 328628 419284 657256 838568 1314512 1677136 3039809 6079618 12159236 24318472 48636944