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245814272 = 21011139157
BaseRepresentation
bin11101010011011…
…01010000000000
3122010112122210022
432221231100000
51000412024042
640220353012
76043246454
oct1651552000
9563478708
10245814272
111168349a0
126a3a5768
133bc08442
142490a664
15168a8cd2
hexea6d400

245814272 has 88 divisors (see below), whose sum is σ = 543355680. Its totient is φ = 110223360.

The previous prime is 245814263. The next prime is 245814281. The reversal of 245814272 is 272418542.

It is an interprime number because it is at equal distance from previous prime (245814263) and next prime (245814281).

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1565618 + ... + 1565774.

Almost surely, 2245814272 is an apocalyptic number.

245814272 is a gapful number since it is divisible by the number (22) 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 245814272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271677840).

245814272 is an abundant number, since it is smaller than the sum of its proper divisors (297541408).

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

245814272 is a wasteful number, since it uses less digits than its factorization.

245814272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 309 counting only the distinct ones).

The product of its digits is 35840, while the sum is 35.

The square root of 245814272 is about 15678.4652310103. The cubic root of 245814272 is about 626.4249276344.

The spelling of 245814272 in words is "two hundred forty-five million, eight hundred fourteen thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 139 157 176 256 278 314 352 512 556 628 704 1024 1112 1256 1408 1529 1727 2224 2512 2816 3058 3454 4448 5024 5632 6116 6908 8896 10048 11264 12232 13816 17792 20096 21823 24464 27632 35584 40192 43646 48928 55264 71168 80384 87292 97856 110528 142336 160768 174584 195712 221056 240053 349168 391424 442112 480106 698336 782848 884224 960212 1396672 1565696 1768448 1920424 2793344 3840848 5586688 7681696 11173376 15363392 22346752 30726784 61453568 122907136 245814272