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2608745152 = 26134766713
BaseRepresentation
bin1001101101111110…
…0100101011000000
320201210210222120211
42123133210223000
520320314321102
61110510243504
7121434652666
oct23337445300
96653728524
102608745152
111119628932
126097b6594
133276155b0
141aa67ac36
1510405b7d7
hex9b7e4ac0

2608745152 has 56 divisors (see below), whose sum is σ = 5693639616. Its totient is φ = 1178400768.

The previous prime is 2608745147. The next prime is 2608745159. The reversal of 2608745152 is 2515478062.

2608745152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2608745159) 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, 5748 + ... + 72460.

It is an arithmetic number, because the mean of its divisors is an integer number (101672136).

Almost surely, 22608745152 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 2608745152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846819808).

2608745152 is an abundant number, since it is smaller than the sum of its proper divisors (3084894464).

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

2608745152 is a wasteful number, since it uses less digits than its factorization.

2608745152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66785 (or 66775 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 2608745152 is about 51075.8764193039. The cubic root of 2608745152 is about 1376.6088323398.

The spelling of 2608745152 in words is "two billion, six hundred eight million, seven hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 47 52 64 94 104 188 208 376 416 611 752 832 1222 1504 2444 3008 4888 9776 19552 39104 66713 133426 266852 533704 867269 1067408 1734538 2134816 3135511 3469076 4269632 6271022 6938152 12542044 13876304 25084088 27752608 40761643 50168176 55505216 81523286 100336352 163046572 200672704 326093144 652186288 1304372576 2608745152