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244563040 = 2551997681
BaseRepresentation
bin11101001001110…
…11110001100000
3122001012002102101
432210323301200
51000102004130
640133500144
76026515531
oct1644736140
9561162371
10244563040
1111605a917
1269aa1654
133b88aa77
14246a2688
151670d1ca
hexe93bc60

244563040 has 48 divisors (see below), whose sum is σ = 580759200. Its totient is φ = 97320960.

The previous prime is 244563031. The next prime is 244563047. The reversal of 244563040 is 40365442.

244563040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2445630402 = 119622161068083200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244563047) 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, 28000 + ... + 35680.

It is an arithmetic number, because the mean of its divisors is an integer number (12099150).

Almost surely, 2244563040 is an apocalyptic number.

244563040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244563040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290379600).

244563040 is an abundant number, since it is smaller than the sum of its proper divisors (336196160).

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

244563040 is a wasteful number, since it uses less digits than its factorization.

244563040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7895 (or 7887 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 244563040 is about 15638.5114381133. The cubic root of 244563040 is about 625.3602531084.

The spelling of 244563040 in words is "two hundred forty-four million, five hundred sixty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 199 398 796 995 1592 1990 3184 3980 6368 7681 7960 15362 15920 30724 31840 38405 61448 76810 122896 153620 245792 307240 614480 1228960 1528519 3057038 6114076 7642595 12228152 15285190 24456304 30570380 48912608 61140760 122281520 244563040