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245410272 = 25321038273
BaseRepresentation
bin11101010000010…
…10100111100000
3122002210010121100
432220022213200
51000311112042
640203554400
76036644562
oct1650124740
9562703540
10245410272
11116589408
126a22ba00
133bac65a3
1424843332
151682924c
hexea0a9e0

245410272 has 72 divisors (see below), whose sum is σ = 704746224. Its totient is φ = 80999424.

The previous prime is 245410271. The next prime is 245410273. The reversal of 245410272 is 272014542.

245410272 is a `hidden beast` number, since 245 + 410 + 2 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (245410271) and next prime (245410273).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2454102722 = 120452403206227968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245410271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25528 + ... + 33800.

It is an arithmetic number, because the mean of its divisors is an integer number (9788142).

Almost surely, 2245410272 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 245410272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352373112).

245410272 is an abundant number, since it is smaller than the sum of its proper divisors (459335952).

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

245410272 is a wasteful number, since it uses less digits than its factorization.

245410272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8392 (or 8381 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 245410272 is about 15665.5760187744. The cubic root of 245410272 is about 626.0815593939.

The spelling of 245410272 in words is "two hundred forty-five million, four hundred ten thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 103 144 206 288 309 412 618 824 927 1236 1648 1854 2472 3296 3708 4944 7416 8273 9888 14832 16546 24819 29664 33092 49638 66184 74457 99276 132368 148914 198552 264736 297828 397104 595656 794208 852119 1191312 1704238 2382624 2556357 3408476 5112714 6816952 7669071 10225428 13633904 15338142 20450856 27267808 30676284 40901712 61352568 81803424 122705136 245410272