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245889536 = 29617873
BaseRepresentation
bin11101010011111…
…11101000000000
3122010200111000212
432221333220000
51000421431121
640222133252
76044012054
oct1651775000
9563614025
10245889536
111168864a2
126a421228
133bc33789
1424929c64
15168c125b
hexea7fa00

245889536 has 40 divisors (see below), whose sum is σ = 499416324. Its totient is φ = 120913920.

The previous prime is 245889533. The next prime is 245889541. The reversal of 245889536 is 635988542.

245889536 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 2 ways, for example, as 165894400 + 79995136 = 12880^2 + 8944^2 .

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (245889533) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27296 + ... + 35168.

Almost surely, 2245889536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245889536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249708162).

245889536 is an abundant number, since it is smaller than the sum of its proper divisors (253526788).

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

245889536 is an frugal number, since it uses more digits than its factorization.

245889536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7952 (or 7936 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 50.

The square root of 245889536 is about 15680.8652822477. The cubic root of 245889536 is about 626.4888545365.

The spelling of 245889536 in words is "two hundred forty-five million, eight hundred eighty-nine thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 512 976 1952 3904 7808 7873 15616 15746 31232 31492 62984 125968 251936 480253 503872 960506 1007744 1921012 2015488 3842024 4030976 7684048 15368096 30736192 61472384 122944768 245889536