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3025953024 = 28397151269
BaseRepresentation
bin1011010001011100…
…0110000100000000
321210212212100012020
42310113012010000
522144120444044
61220132401440
7134662114323
oct26427060400
97725770166
103025953024
111313087326
12705476280
13392ba0463
14209c407ba
1512a9bda19
hexb45c6100

3025953024 has 144 divisors (see below), whose sum is σ = 8220804480. Its totient is φ = 987955200.

The previous prime is 3025953023. The next prime is 3025953079. The reversal of 3025953024 is 4203595203.

It is not an unprimeable number, because it can be changed into a prime (3025953023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11248762 + ... + 11249030.

It is an arithmetic number, because the mean of its divisors is an integer number (57088920).

Almost surely, 23025953024 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 3025953024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4110402240).

3025953024 is an abundant number, since it is smaller than the sum of its proper divisors (5194851456).

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

3025953024 is a wasteful number, since it uses less digits than its factorization.

3025953024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 3025953024 is about 55008.6631722677. The cubic root of 3025953024 is about 1446.3966053775.

The spelling of 3025953024 in words is "three billion, twenty-five million, nine hundred fifty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 151 192 194 256 269 291 302 384 388 453 538 582 604 768 776 807 906 1076 1164 1208 1552 1614 1812 2152 2328 2416 3104 3228 3624 4304 4656 4832 6208 6456 7248 8608 9312 9664 12416 12912 14496 14647 17216 18624 19328 24832 25824 26093 28992 29294 34432 37248 38656 40619 43941 51648 52186 57984 58588 68864 74496 78279 81238 87882 103296 104372 115968 117176 121857 156558 162476 175764 206592 208744 234352 243714 313116 324952 351528 417488 468704 487428 626232 649904 703056 834976 937408 974856 1252464 1299808 1406112 1669952 1874816 1949712 2504928 2599616 2812224 3339904 3749632 3899424 3940043 5009856 5199232 5624448 6679808 7798848 7880086 10019712 10398464 11248896 11820129 15597696 15760172 20039424 23640258 31195392 31520344 47280516 63040688 94561032 126081376 189122064 252162752 378244128 504325504 756488256 1008651008 1512976512 3025953024