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245360896 = 28112892
BaseRepresentation
bin11101001111111…
…10100100000000
3122002200121212121
432213332210000
51000303022041
640202534024
76036350614
oct1647764400
9562617777
10245360896
11116555300
126a207314
133baa9c81
142482d344
15168197d1
hexe9fe900

245360896 has 81 divisors (see below), whose sum is σ = 544451593. Its totient is φ = 110274560.

The previous prime is 245360891. The next prime is 245360897. The reversal of 245360896 is 698063542.

The square root of 245360896 is 15664.

It is a perfect power (a square), and thus also a powerful number.

245360896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 47114496 + 198246400 = 6864^2 + 14080^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (245360891) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2756820 + ... + 2756908.

Almost surely, 2245360896 is an apocalyptic number.

245360896 is the 15664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245360896

245360896 is an abundant number, since it is smaller than the sum of its proper divisors (299090697).

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

245360896 is an frugal number, since it uses more digits than its factorization.

245360896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The cubic root of 245360896 is about 626.0395678392.

The spelling of 245360896 in words is "two hundred forty-five million, three hundred sixty thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 89 121 128 176 178 242 256 352 356 484 704 712 968 979 1408 1424 1936 1958 2816 2848 3872 3916 5696 7744 7832 7921 10769 11392 15488 15664 15842 21538 22784 30976 31328 31684 43076 62656 63368 86152 87131 125312 126736 172304 174262 250624 253472 344608 348524 506944 689216 697048 958441 1013888 1378432 1394096 1916882 2027776 2756864 2788192 3833764 5576384 7667528 11152768 15335056 22305536 30670112 61340224 122680448 245360896