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245530464 = 25319227593
BaseRepresentation
bin11101010001001…
…11111101100000
3122010000020110220
432220213331200
51000323433324
640210323040
76040655154
oct1650477540
9563006426
10245530464
11116660743
126a289480
133bb391ca
1424875064
151684eb79
hexea27f60

245530464 has 96 divisors (see below), whose sum is σ = 682577280. Its totient is φ = 77064192.

The previous prime is 245530421. The next prime is 245530477. The reversal of 245530464 is 464035542.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 413752 + ... + 414344.

It is an arithmetic number, because the mean of its divisors is an integer number (7110180).

Almost surely, 2245530464 is an apocalyptic number.

245530464 is a gapful number since it is divisible by the number (24) 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 245530464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341288640).

245530464 is an abundant number, since it is smaller than the sum of its proper divisors (437046816).

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

245530464 is a wasteful number, since it uses less digits than its factorization.

245530464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The square root of 245530464 is about 15669.4117311404. The cubic root of 245530464 is about 626.1837524992.

The spelling of 245530464 in words is "two hundred forty-five million, five hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 227 228 304 454 456 593 608 681 908 912 1186 1362 1779 1816 1824 2372 2724 3558 3632 4313 4744 5448 7116 7264 8626 9488 10896 11267 12939 14232 17252 18976 21792 22534 25878 28464 33801 34504 45068 51756 56928 67602 69008 90136 103512 134611 135204 138016 180272 207024 269222 270408 360544 403833 414048 538444 540816 807666 1076888 1081632 1615332 2153776 2557609 3230664 4307552 5115218 6461328 7672827 10230436 12922656 15345654 20460872 30691308 40921744 61382616 81843488 122765232 245530464