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245689024 = 2673791447
BaseRepresentation
bin11101010010011…
…10101011000000
3122010022021222111
432221032223000
51000344022044
640213545104
76042215350
oct1651165300
9563267874
10245689024
11116759889
126a345194
133bb93429
14248b6b60
1516881b34
hexea4eac0

245689024 has 56 divisors (see below), whose sum is σ = 559043840. Its totient is φ = 104944896.

The previous prime is 245689021. The next prime is 245689027. The reversal of 245689024 is 420986542.

It is an interprime number because it is at equal distance from previous prime (245689021) and next prime (245689027).

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (245689021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169069 + ... + 170515.

Almost surely, 2245689024 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 245689024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279521920).

245689024 is an abundant number, since it is smaller than the sum of its proper divisors (313354816).

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

245689024 is a wasteful number, since it uses less digits than its factorization.

245689024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 245689024 is about 15674.4704535751. The cubic root of 245689024 is about 626.3185169449.

The spelling of 245689024 in words is "two hundred forty-five million, six hundred eighty-nine thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 379 448 758 1447 1516 2653 2894 3032 5306 5788 6064 10129 10612 11576 12128 20258 21224 23152 24256 40516 42448 46304 81032 84896 92608 162064 169792 324128 548413 648256 1096826 2193652 3838891 4387304 7677782 8774608 15355564 17549216 30711128 35098432 61422256 122844512 245689024