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48322416 = 24359113151
BaseRepresentation
bin1011100001010…
…1011101110000
310100221000220010
42320111131300
544332304131
64443414520
71124506452
oct270253560
9110830803
1048322416
112530538a
1214224440
13a01b95c
1465bc2d2
154397b46
hex2e15770

48322416 has 80 divisors (see below), whose sum is σ = 128920320. Its totient is φ = 15590400.

The previous prime is 48322409. The next prime is 48322441. The reversal of 48322416 is 61422384.

48322416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 319941 + ... + 320091.

It is an arithmetic number, because the mean of its divisors is an integer number (1611504).

Almost surely, 248322416 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 48322416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64460160).

48322416 is an abundant number, since it is smaller than the sum of its proper divisors (80597904).

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

48322416 is a wasteful number, since it uses less digits than its factorization.

48322416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 328 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 48322416 is about 6951.4326580929. The cubic root of 48322416 is about 364.2360100472.

The spelling of 48322416 in words is "forty-eight million, three hundred twenty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 113 118 151 177 226 236 302 339 354 452 453 472 604 678 708 904 906 944 1208 1356 1416 1808 1812 2416 2712 2832 3624 5424 6667 7248 8909 13334 17063 17818 20001 26668 26727 34126 35636 40002 51189 53336 53454 68252 71272 80004 102378 106672 106908 136504 142544 160008 204756 213816 273008 320016 409512 427632 819024 1006717 2013434 3020151 4026868 6040302 8053736 12080604 16107472 24161208 48322416