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2985569024 = 28291492699
BaseRepresentation
bin1011000111110100…
…0010101100000000
321201001212121202112
42301331002230000
522103301202044
61212131034452
7133661626604
oct26175025400
97631777675
102985569024
1112a2304219
126b3a3ba28
13387700bb9
1420472b504
1512719309e
hexb1f42b00

2985569024 has 72 divisors (see below), whose sum is σ = 6208650000. Its totient is φ = 1431105536.

The previous prime is 2985569017. The next prime is 2985569039. The reversal of 2985569024 is 4209655892.

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 7 ways as a sum of consecutive naturals, for example, 1104827 + ... + 1107525.

It is an arithmetic number, because the mean of its divisors is an integer number (86231250).

Almost surely, 22985569024 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 2985569024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104325000).

2985569024 is an abundant number, since it is smaller than the sum of its proper divisors (3223080976).

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

2985569024 is a wasteful number, since it uses less digits than its factorization.

2985569024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 50.

The square root of 2985569024 is about 54640.3607601560. The cubic root of 2985569024 is about 1439.9332890906.

The spelling of 2985569024 in words is "two billion, nine hundred eighty-five million, five hundred sixty-nine thousand, twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 149 232 256 298 464 596 928 1192 1856 2384 2699 3712 4321 4768 5398 7424 8642 9536 10796 17284 19072 21592 34568 38144 43184 69136 78271 86368 138272 156542 172736 276544 313084 345472 402151 553088 626168 690944 804302 1106176 1252336 1608604 2504672 3217208 5009344 6434416 10018688 11662379 12868832 20037376 23324758 25737664 46649516 51475328 93299032 102950656 186598064 373196128 746392256 1492784512 2985569024