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245263616 = 281325669
BaseRepresentation
bin11101001111001…
…10110100000000
3122002111200102122
432213212310000
51000241413431
640200503412
76035464163
oct1647466400
9562450378
10245263616
11116499204
126a17ab68
133ba74900
1424805ada
15167eaa7b
hexe9e6d00

245263616 has 54 divisors (see below), whose sum is σ = 530218710. Its totient is φ = 113178624.

The previous prime is 245263597. The next prime is 245263633. The reversal of 245263616 is 616362542.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4393216 + 240870400 = 2096^2 + 15520^2 .

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 5 ways as a sum of consecutive naturals, for example, 40430 + ... + 46098.

It is an arithmetic number, because the mean of its divisors is an integer number (9818865).

Almost surely, 2245263616 is an apocalyptic number.

245263616 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245263616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265109355).

245263616 is an abundant number, since it is smaller than the sum of its proper divisors (284955094).

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

245263616 is an equidigital number, since it uses as much as digits as its factorization.

245263616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5711 (or 5684 counting only the distinct ones).

The product of its digits is 51840, while the sum is 35.

The square root of 245263616 is about 15660.8944827554. The cubic root of 245263616 is about 625.9568200983.

The spelling of 245263616 in words is "two hundred forty-five million, two hundred sixty-three thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 676 832 1352 1664 2704 3328 5408 5669 10816 11338 21632 22676 43264 45352 73697 90704 147394 181408 294788 362816 589576 725632 958061 1179152 1451264 1916122 2358304 3832244 4716608 7664488 9433216 15328976 18866432 30657952 61315904 122631808 245263616