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245406656 = 2611359971
BaseRepresentation
bin11101010000010…
…01101111000000
3122002202221122102
432220021233000
51000311003111
640203525532
76036631205
oct1650115700
9562687572
10245406656
11116586720
126a2298a8
133bac4a51
1424841cac
151682813b
hexea09bc0

245406656 has 56 divisors (see below), whose sum is σ = 533278080. Its totient is φ = 111123200.

The previous prime is 245406653. The next prime is 245406677. The reversal of 245406656 is 656604542.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245406653) 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, 252251 + ... + 253221.

Almost surely, 2245406656 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 245406656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266639040).

245406656 is an abundant number, since it is smaller than the sum of its proper divisors (287871424).

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

245406656 is a wasteful number, since it uses less digits than its factorization.

245406656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The square root of 245406656 is about 15665.4606060594. The cubic root of 245406656 is about 626.0784843772.

The spelling of 245406656 in words is "two hundred forty-five million, four hundred six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 359 704 718 971 1436 1942 2872 3884 3949 5744 7768 7898 10681 11488 15536 15796 21362 22976 31072 31592 42724 62144 63184 85448 126368 170896 252736 341792 348589 683584 697178 1394356 2788712 3834479 5577424 7668958 11154848 15337916 22309696 30675832 61351664 122703328 245406656