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245679672 = 233710114479
BaseRepresentation
bin11101010010011…
…00011000111000
3122010021211011010
432221030120320
51000343222142
640213433520
76042146160
oct1651143070
9563254133
10245679672
11116752857
126a33b8a0
133bb8c0b4
14248b35a0
151687de9c
hexea4c638

245679672 has 64 divisors (see below), whose sum is σ = 708940800. Its totient is φ = 69494400.

The previous prime is 245679661. The next prime is 245679689. The reversal of 245679672 is 276976542.

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 15 ways as a sum of consecutive naturals, for example, 9729 + ... + 24207.

It is an arithmetic number, because the mean of its divisors is an integer number (11077200).

Almost surely, 2245679672 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 245679672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354470400).

245679672 is an abundant number, since it is smaller than the sum of its proper divisors (463261128).

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

245679672 is a wasteful number, since it uses less digits than its factorization.

245679672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14596 (or 14592 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 48.

The square root of 245679672 is about 15674.1721312483. The cubic root of 245679672 is about 626.3105700357.

It can be divided in two parts, 2456 and 79672, that added together give a palindrome (82128).

The spelling of 245679672 in words is "two hundred forty-five million, six hundred seventy-nine thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 101 168 202 303 404 606 707 808 1212 1414 2121 2424 2828 4242 5656 8484 14479 16968 28958 43437 57916 86874 101353 115832 173748 202706 304059 347496 405412 608118 810824 1216236 1462379 2432472 2924758 4387137 5849516 8774274 10236653 11699032 17548548 20473306 30709959 35097096 40946612 61419918 81893224 122839836 245679672