Search a number
-
+
248385376 = 2534722369
BaseRepresentation
bin11101100111000…
…00111101100000
3122022101021200101
432303200331200
51002041313001
640351432144
76104145421
oct1663407540
9568337611
10248385376
11118230678
126b225654
133c5c87c5
1424db9648
1516c15a01
hexece0f60

248385376 has 24 divisors (see below), whose sum is σ = 490439880. Its totient is φ = 123829248.

The previous prime is 248385373. The next prime is 248385391. The reversal of 248385376 is 673583842.

248385376 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2483853762 = 123390590021322752, which contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248385373) 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, 81 + ... + 22288.

It is an arithmetic number, because the mean of its divisors is an integer number (20434995).

Almost surely, 2248385376 is an apocalyptic number.

It is an amenable number.

248385376 is a deficient number, since it is larger than the sum of its proper divisors (242054504).

248385376 is a wasteful number, since it uses less digits than its factorization.

248385376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22726 (or 22718 counting only the distinct ones).

The product of its digits is 967680, while the sum is 46.

The square root of 248385376 is about 15760.2466985768. The cubic root of 248385376 is about 628.6013955804.

The spelling of 248385376 in words is "two hundred forty-eight million, three hundred eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 347 694 1388 2776 5552 11104 22369 44738 89476 178952 357904 715808 7762043 15524086 31048172 62096344 124192688 248385376