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48328280 = 235711131771
BaseRepresentation
bin1011100001011…
…0111001011000
310100221022221022
42320112321120
544333001110
64443502012
71124532530
oct270267130
9110838838
1048328280
1125309830
1214227908
13a021520
1465c04c0
154399755
hex2e16e58

48328280 has 256 divisors, whose sum is σ = 156764160. Its totient is φ = 12902400.

The previous prime is 48328277. The next prime is 48328283. The reversal of 48328280 is 8282384.

48328280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48328277) and next prime (48328283).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 48328280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48328283) 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 63 ways as a sum of consecutive naturals, for example, 680645 + ... + 680715.

It is an arithmetic number, because the mean of its divisors is an integer number (612360).

Almost surely, 248328280 is an apocalyptic number.

48328280 is a gapful number since it is divisible by the number (40) 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 48328280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78382080).

48328280 is an abundant number, since it is smaller than the sum of its proper divisors (108435880).

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

48328280 is a wasteful number, since it uses less digits than its factorization.

48328280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 48328280 is about 6951.8544288557. The cubic root of 48328280 is about 364.2507429859.

The spelling of 48328280 in words is "forty-eight million, three hundred twenty-eight thousand, two hundred eighty".