Search a number
-
+
248471296 = 284871993
BaseRepresentation
bin11101100111101…
…01111100000000
3122022112122112121
432303311330000
51002102040141
640353334024
76104654053
oct1663657400
9568478477
10248471296
1111828a187
126b267314
133c628948
1424ddca9a
1516c311d1
hexecf5f00

248471296 has 36 divisors (see below), whose sum is σ = 497239792. Its totient is φ = 123918336.

The previous prime is 248471233. The next prime is 248471297. The reversal of 248471296 is 692174842.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248471297) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 123676 + ... + 125668.

Almost surely, 2248471296 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 248471296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248619896).

248471296 is an abundant number, since it is smaller than the sum of its proper divisors (248768496).

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

248471296 is an equidigital number, since it uses as much as digits as its factorization.

248471296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2482 counting only the distinct ones).

The product of its digits is 193536, while the sum is 43.

The square root of 248471296 is about 15762.9723085464. The cubic root of 248471296 is about 628.6738679167.

The spelling of 248471296 in words is "two hundred forty-eight million, four hundred seventy-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 487 974 1948 1993 3896 3986 7792 7972 15584 15944 31168 31888 62336 63776 124672 127552 255104 510208 970591 1941182 3882364 7764728 15529456 31058912 62117824 124235648 248471296