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245004032 = 287132809
BaseRepresentation
bin11101001101001…
…11011100000000
3122002000111100102
432212213130000
51000210112112
640151141532
76033333320
oct1646473400
9562014312
10245004032
11116331179
126a0748a8
133b9b3700
1424779280
1516798bc2
hexe9a7700

245004032 has 108 divisors (see below), whose sum is σ = 605964240. Its totient is φ = 96804864.

The previous prime is 245004029. The next prime is 245004037. The reversal of 245004032 is 230400542.

It is a junction number, because it is equal to n+sod(n) for n = 245003995 and 245004013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245004037) 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 11 ways as a sum of consecutive naturals, for example, 302444 + ... + 303252.

It is an arithmetic number, because the mean of its divisors is an integer number (5610780).

Almost surely, 2245004032 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 245004032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302982120).

245004032 is an abundant number, since it is smaller than the sum of its proper divisors (360960208).

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

245004032 is an equidigital number, since it uses as much as digits as its factorization.

245004032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 245004032 is about 15652.6046394841. The cubic root of 245004032 is about 625.7359071383.

Adding to 245004032 its reverse (230400542), we get a palindrome (475404574).

The spelling of 245004032 in words is "two hundred forty-five million, four thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 169 182 208 224 256 338 364 416 448 676 728 809 832 896 1183 1352 1456 1618 1664 1792 2366 2704 2912 3236 3328 4732 5408 5663 5824 6472 9464 10517 10816 11326 11648 12944 18928 21034 21632 22652 23296 25888 37856 42068 43264 45304 51776 73619 75712 84136 90608 103552 136721 147238 151424 168272 181216 207104 273442 294476 302848 336544 362432 546884 588952 673088 724864 957047 1093768 1177904 1346176 1449728 1914094 2187536 2355808 2692352 3828188 4375072 4711616 7656376 8750144 9423232 15312752 17500288 18846464 30625504 35000576 61251008 122502016 245004032