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245288080 = 24516371873
BaseRepresentation
bin11101001111011…
…00110010010000
3122002112220222201
432213230302100
51000243204310
640201212544
76035625412
oct1647546220
9562486881
10245288080
11116505624
126a191154
133ba82a9b
14248109b2
1516802e3a
hexe9ecc90

245288080 has 40 divisors (see below), whose sum is σ = 570947832. Its totient is φ = 98002944.

The previous prime is 245288023. The next prime is 245288101. The reversal of 245288080 is 80882542.

245288080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 20647936 + 224640144 = 4544^2 + 14988^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130024 + ... + 131896.

Almost surely, 2245288080 is an apocalyptic number.

245288080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245288080 is an abundant number, since it is smaller than the sum of its proper divisors (325659752).

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

245288080 is a wasteful number, since it uses less digits than its factorization.

245288080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3523 (or 3517 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 37.

The square root of 245288080 is about 15661.6755170065. The cubic root of 245288080 is about 625.9776315810.

The spelling of 245288080 in words is "two hundred forty-five million, two hundred eighty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1637 1873 3274 3746 6548 7492 8185 9365 13096 14984 16370 18730 26192 29968 32740 37460 65480 74920 130960 149840 3066101 6132202 12264404 15330505 24528808 30661010 49057616 61322020 122644040 245288080