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245805824 = 2811412129
BaseRepresentation
bin11101010011010…
…11001100000000
3122010112020012102
432221223030000
51000411241244
640220245532
76043213025
oct1651531400
9563466172
10245805824
11116829610
126a3a08a8
133bc04644
142490754c
15168a654e
hexea6b300

245805824 has 72 divisors (see below), whose sum is σ = 548568720. Its totient is φ = 108953600.

The previous prime is 245805823. The next prime is 245805871. The reversal of 245805824 is 428508542.

245805824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2458058242 = 120841006224637952, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (245805823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114392 + ... + 116520.

It is an arithmetic number, because the mean of its divisors is an integer number (7619010).

Almost surely, 2245805824 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 245805824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274284360).

245805824 is an abundant number, since it is smaller than the sum of its proper divisors (302762896).

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

245805824 is a wasteful number, since it uses less digits than its factorization.

245805824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 38.

The square root of 245805824 is about 15678.1958145700. The cubic root of 245805824 is about 626.4177513514.

The spelling of 245805824 in words is "two hundred forty-five million, eight hundred five thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 128 164 176 256 328 352 451 656 704 902 1312 1408 1804 2129 2624 2816 3608 4258 5248 7216 8516 10496 14432 17032 23419 28864 34064 46838 57728 68128 87289 93676 115456 136256 174578 187352 272512 349156 374704 545024 698312 749408 960179 1396624 1498816 1920358 2793248 2997632 3840716 5586496 5995264 7681432 11172992 15362864 22345984 30725728 61451456 122902912 245805824