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48478608 = 2433293383
BaseRepresentation
bin1011100011101…
…1100110010000
310101012222011000
42320323212100
544402303413
64451022000
71126030023
oct270734620
9111188130
1048478608
1125401772
121429a900
13a074a89
14661d1ba
1543c9073
hex2e3b990

48478608 has 80 divisors (see below), whose sum is σ = 139991040. Its totient is φ = 16062336.

The previous prime is 48478607. The next prime is 48478631. The reversal of 48478608 is 80687484.

48478608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (48478603) 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 15 ways as a sum of consecutive naturals, for example, 126385 + ... + 126767.

It is an arithmetic number, because the mean of its divisors is an integer number (1749888).

Almost surely, 248478608 is an apocalyptic number.

48478608 is a gapful number since it is divisible by the number (48) 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 48478608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69995520).

48478608 is an abundant number, since it is smaller than the sum of its proper divisors (91512432).

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

48478608 is a wasteful number, since it uses less digits than its factorization.

48478608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 48478608 is about 6962.6581131059. The cubic root of 48478608 is about 364.6280266283.

The spelling of 48478608 in words is "forty-eight million, four hundred seventy-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 293 383 432 586 766 879 1149 1172 1532 1758 2298 2344 2637 3064 3447 3516 4596 4688 5274 6128 6894 7032 7911 9192 10341 10548 13788 14064 15822 18384 20682 21096 27576 31644 41364 42192 55152 63288 82728 112219 126576 165456 224438 336657 448876 673314 897752 1009971 1346628 1795504 2019942 2693256 3029913 4039884 5386512 6059826 8079768 12119652 16159536 24239304 48478608