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248805642 = 23172719001
BaseRepresentation
bin11101101010001…
…11100100001010
3122100011122011210
432311013210022
51002143240032
640404433550
76110545611
oct1665074412
9570148153
10248805642
111184983a8
126b3a88b6
133c714b97
1425088878
1516c9a2cc
hexed4790a

248805642 has 32 divisors (see below), whose sum is σ = 528885504. Its totient is φ = 77760000.

The previous prime is 248805637. The next prime is 248805643. The reversal of 248805642 is 246508842.

248805642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 248805642.

It is not an unprimeable number, because it can be changed into a prime (248805643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23142 + ... + 32142.

It is an arithmetic number, because the mean of its divisors is an integer number (16527672).

Almost surely, 2248805642 is an apocalyptic number.

248805642 is an abundant number, since it is smaller than the sum of its proper divisors (280079862).

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

248805642 is a wasteful number, since it uses less digits than its factorization.

248805642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9294.

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 248805642 is about 15773.5741669414. The cubic root of 248805642 is about 628.9557252670.

The spelling of 248805642 in words is "two hundred forty-eight million, eight hundred five thousand, six hundred forty-two".

Divisors: 1 2 3 6 17 34 51 102 271 542 813 1626 4607 9001 9214 13821 18002 27003 27642 54006 153017 306034 459051 918102 2439271 4878542 7317813 14635626 41467607 82935214 124402821 248805642