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245145024 = 26323113729
BaseRepresentation
bin11101001110010…
…01110111000000
3122002021122202100
432213021313000
51000224120044
640154150400
76034461345
oct1647116700
9562248670
10245145024
111164180a3
126a122400
133ba32937
14247b47cc
15167c5869
hexe9c9dc0

245145024 has 84 divisors (see below), whose sum is σ = 725383360. Its totient is φ = 79073280.

The previous prime is 245145013. The next prime is 245145041. The reversal of 245145024 is 420541542.

245145024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10992 + ... + 24720.

Almost surely, 2245145024 is an apocalyptic number.

245145024 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 245145024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362691680).

245145024 is an abundant number, since it is smaller than the sum of its proper divisors (480238336).

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

245145024 is a wasteful number, since it uses less digits than its factorization.

245145024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13778 (or 13765 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 245145024 is about 15657.1077788971. The cubic root of 245145024 is about 625.8559144683.

Adding to 245145024 its reverse (420541542), we get a palindrome (665686566).

The spelling of 245145024 in words is "two hundred forty-five million, one hundred forty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 992 1116 1488 1984 2232 2976 4464 5952 8928 13729 17856 27458 41187 54916 82374 109832 123561 164748 219664 247122 329496 425599 439328 494244 658992 851198 878656 988488 1276797 1317984 1702396 1976976 2553594 2635968 3404792 3830391 3953952 5107188 6809584 7660782 7907904 10214376 13619168 15321564 20428752 27238336 30643128 40857504 61286256 81715008 122572512 245145024