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248238168 = 23327138167
BaseRepresentation
bin11101100101111…
…01000001011000
3122022002210202020
432302331001120
51002022110133
640344334440
76102663303
oct1662750130
9568083666
10248238168
11118140012
126b174420
133c5767b9
1424d7bb3a
1516bd70b3
hexecbd058

248238168 has 32 divisors (see below), whose sum is σ = 622901760. Its totient is φ = 82438560.

The previous prime is 248238163. The next prime is 248238197. The reversal of 248238168 is 861832842.

It is a happy number.

248238168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248238163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12580 + ... + 25587.

It is an arithmetic number, because the mean of its divisors is an integer number (19465680).

Almost surely, 2248238168 is an apocalyptic number.

It is an amenable number.

248238168 is an abundant number, since it is smaller than the sum of its proper divisors (374663592).

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

248238168 is a wasteful number, since it uses less digits than its factorization.

248238168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38447 (or 38443 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 248238168 is about 15755.5757749439. The cubic root of 248238168 is about 628.4771888035.

The spelling of 248238168 in words is "two hundred forty-eight million, two hundred thirty-eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 271 542 813 1084 1626 2168 3252 6504 38167 76334 114501 152668 229002 305336 458004 916008 10343257 20686514 31029771 41373028 62059542 82746056 124119084 248238168