Search a number
-
+
245623104 = 263447381
BaseRepresentation
bin11101010001111…
…10100101000000
3122010011221120000
432220332211000
51000334414404
640212320000
76041522226
oct1650764500
9563157500
10245623104
11116714301
126a313000
133bb6c41c
142489ab16
151686c339
hexea3e940

245623104 has 70 divisors (see below), whose sum is σ = 728119194. Its totient is φ = 81872640.

The previous prime is 245623097. The next prime is 245623121. The reversal of 245623104 is 401326542.

245623104 is a `hidden beast` number, since 24 + 5 + 623 + 10 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 239630400 + 5992704 = 15480^2 + 2448^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 18507 + ... + 28874.

Almost surely, 2245623104 is an apocalyptic number.

245623104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

245623104 is an abundant number, since it is smaller than the sum of its proper divisors (482496090).

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

245623104 is an equidigital number, since it uses as much as digits as its factorization.

245623104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47405 (or 47386 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 245623104 is about 15672.3675301468. The cubic root of 245623104 is about 626.2624967925.

Adding to 245623104 its reverse (401326542), we get a palindrome (646949646).

The spelling of 245623104 in words is "two hundred forty-five million, six hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 47381 94762 142143 189524 284286 379048 426429 568572 758096 852858 1137144 1279287 1516192 1705716 2274288 2558574 3032384 3411432 3837861 4548576 5117148 6822864 7675722 9097152 10234296 13645728 15351444 20468592 27291456 30702888 40937184 61405776 81874368 122811552 245623104