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245052576 = 25321922357
BaseRepresentation
bin11101001101100…
…11010010100000
3122002002221221100
432212303102200
51000213140301
640152154400
76033624666
oct1646632240
9562087840
10245052576
1111636469a
126a098a00
133b9cc832
142478cc36
15167a8286
hexe9b34a0

245052576 has 108 divisors (see below), whose sum is σ = 735787962. Its totient is φ = 77352192.

The previous prime is 245052541. The next prime is 245052593. The reversal of 245052576 is 675250542.

It can be written as a sum of positive squares in only one way, i.e., 233356176 + 11696400 = 15276^2 + 3420^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 245052576.

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 17 ways as a sum of consecutive naturals, for example, 102790 + ... + 105146.

Almost surely, 2245052576 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 245052576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367893981).

245052576 is an abundant number, since it is smaller than the sum of its proper divisors (490735386).

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

245052576 is a wasteful number, since it uses less digits than its factorization.

245052576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 245052576 is about 15654.1552311199. The cubic root of 245052576 is about 625.7772312446. Note that the first 3 decimals are identical.

The spelling of 245052576 in words is "two hundred forty-five million, fifty-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 361 456 608 684 722 912 1083 1368 1444 1824 2166 2357 2736 2888 3249 4332 4714 5472 5776 6498 7071 8664 9428 11552 12996 14142 17328 18856 21213 25992 28284 34656 37712 42426 44783 51984 56568 75424 84852 89566 103968 113136 134349 169704 179132 226272 268698 339408 358264 403047 537396 678816 716528 806094 850877 1074792 1433056 1612188 1701754 2149584 2552631 3224376 3403508 4299168 5105262 6448752 6807016 7657893 10210524 12897504 13614032 15315786 20421048 27228064 30631572 40842096 61263144 81684192 122526288 245052576