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245011456 = 21023101103
BaseRepresentation
bin11101001101010…
…01010000000000
3122002000212112101
432212221100000
51000210331311
640151240144
76033364054
oct1646512000
9562025471
10245011456
11116336808
126a079054
133b9b6bc1
142477bc64
151679aec1
hexe9a9400

245011456 has 88 divisors (see below), whose sum is σ = 521149824. Its totient is φ = 114892800.

The previous prime is 245011409. The next prime is 245011457. The reversal of 245011456 is 654110542.

245011456 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 2×2450114562 = 120061227142479872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245011457) 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, 2378701 + ... + 2378803.

Almost surely, 2245011456 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 245011456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260574912).

245011456 is an abundant number, since it is smaller than the sum of its proper divisors (276138368).

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

245011456 is a wasteful number, since it uses less digits than its factorization.

245011456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 245011456 is about 15652.8417867172. The cubic root of 245011456 is about 625.7422273288.

Adding to 245011456 its reverse (654110542), we get a palindrome (899121998).

The spelling of 245011456 in words is "two hundred forty-five million, eleven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 101 103 128 184 202 206 256 368 404 412 512 736 808 824 1024 1472 1616 1648 2323 2369 2944 3232 3296 4646 4738 5888 6464 6592 9292 9476 10403 11776 12928 13184 18584 18952 20806 23552 25856 26368 37168 37904 41612 51712 52736 74336 75808 83224 103424 105472 148672 151616 166448 239269 297344 303232 332896 478538 594688 606464 665792 957076 1189376 1212928 1331584 1914152 2378752 2425856 2663168 3828304 5326336 7656608 10652672 15313216 30626432 61252864 122505728 245011456