Search a number
-
+
48823008 = 25313192971
BaseRepresentation
bin1011101000111…
…1101011100000
310101212110120120
42322033223200
544444314013
64502240240
71131663063
oct272175340
9111773516
1048823008
11256174a3
1214426080
13a165770
1466ac8da
154446123
hex2e8fae0

48823008 has 192 divisors, whose sum is σ = 152409600. Its totient is φ = 13547520.

The previous prime is 48823003. The next prime is 48823009. The reversal of 48823008 is 80032884.

It is a super-2 number, since 2×488230082 = 4767372220336128, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 48823008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48823003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 687613 + ... + 687683.

It is an arithmetic number, because the mean of its divisors is an integer number (793800).

Almost surely, 248823008 is an apocalyptic number.

48823008 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 48823008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76204800).

48823008 is an abundant number, since it is smaller than the sum of its proper divisors (103586592).

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

48823008 is a wasteful number, since it uses less digits than its factorization.

48823008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 48823008 is about 6987.3462773788. The cubic root of 48823008 is about 365.4894490876.

The spelling of 48823008 in words is "forty-eight million, eight hundred twenty-three thousand, eight".