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248243712 = 293295573
BaseRepresentation
bin11101100101111…
…10011000000000
3122022010002100120
432302332120000
51002022244322
640344420240
76103015413
oct1662763000
9568102316
10248243712
111181441a2
126b177680
133c579192
1424d7db7a
1516bd8a5c
hexecbe600

248243712 has 80 divisors (see below), whose sum is σ = 684264240. Its totient is φ = 79880192.

The previous prime is 248243689. The next prime is 248243719. The reversal of 248243712 is 217342842.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248243719) 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 7 ways as a sum of consecutive naturals, for example, 41758 + ... + 47330.

It is an arithmetic number, because the mean of its divisors is an integer number (8553303).

Almost surely, 2248243712 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 248243712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342132120).

248243712 is an abundant number, since it is smaller than the sum of its proper divisors (436020528).

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

248243712 is an equidigital number, since it uses as much as digits as its factorization.

248243712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5623 (or 5607 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 248243712 is about 15755.7517116766. The cubic root of 248243712 is about 628.4818674443.

The spelling of 248243712 in words is "two hundred forty-eight million, two hundred forty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1392 1536 1856 2784 3712 5568 5573 7424 11136 11146 14848 16719 22272 22292 33438 44544 44584 66876 89168 133752 161617 178336 267504 323234 356672 484851 535008 646468 713344 969702 1070016 1292936 1426688 1939404 2140032 2585872 2853376 3878808 4280064 5171744 7757616 8560128 10343488 15515232 20686976 31030464 41373952 62060928 82747904 124121856 248243712