Search a number
-
+
48843380 = 22517971481
BaseRepresentation
bin1011101001010…
…0101001110100
310101220111112002
42322110221310
5100000442010
64502514432
71132106345
oct272245164
9111814462
1048843380
1125630833
1214435a18
13a171b11
1466b60cc
15444c1a5
hex2e94a74

48843380 has 48 divisors (see below), whose sum is σ = 109798416. Its totient is φ = 18186240.

The previous prime is 48843359. The next prime is 48843391. The reversal of 48843380 is 8334884.

48843380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 11236 + 48832144 = 106^2 + 6988^2 .

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, 32240 + ... + 33720.

It is an arithmetic number, because the mean of its divisors is an integer number (2287467).

Almost surely, 248843380 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 48843380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54899208).

48843380 is an abundant number, since it is smaller than the sum of its proper divisors (60955036).

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

48843380 is a wasteful number, since it uses less digits than its factorization.

48843380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 48843380 is about 6988.8039033872. The cubic root of 48843380 is about 365.5402770066.

The spelling of 48843380 in words is "forty-eight million, eight hundred forty-three thousand, three hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 97 170 194 340 388 485 970 1481 1649 1940 2962 3298 5924 6596 7405 8245 14810 16490 25177 29620 32980 50354 100708 125885 143657 251770 287314 503540 574628 718285 1436570 2442169 2873140 4884338 9768676 12210845 24421690 48843380