Search a number
-
+
8975252804 = 22729311492393
BaseRepresentation
bin10000101101111011…
…10111110101000100
3212011111112002020112
420112331313311010
5121340131042204
64042334452152
7435262250540
oct102675676504
925144462215
108975252804
113896329301
1218a5964058
13b005c719b
14612012a20
15377e3e26e
hex216f77d44

8975252804 has 96 divisors (see below), whose sum is σ = 19305216000. Its totient is φ = 3568481280.

The previous prime is 8975252791. The next prime is 8975252807. The reversal of 8975252804 is 4082525798.

It is not an unprimeable number, because it can be changed into a prime (8975252807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3749432 + ... + 3751824.

It is an arithmetic number, because the mean of its divisors is an integer number (201096000).

Almost surely, 28975252804 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 8975252804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9652608000).

8975252804 is an abundant number, since it is smaller than the sum of its proper divisors (10329963196).

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

8975252804 is a wasteful number, since it uses less digits than its factorization.

8975252804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2613 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 50.

The square root of 8975252804 is about 94737.8108465675. The cubic root of 8975252804 is about 2078.1755454415.

The spelling of 8975252804 in words is "eight billion, nine hundred seventy-five million, two hundred fifty-two thousand, eight hundred four".

Divisors: 1 2 4 7 14 28 29 31 58 62 116 124 149 203 217 298 406 434 596 812 868 899 1043 1798 2086 2393 3596 4172 4321 4619 4786 6293 8642 9238 9572 12586 16751 17284 18476 25172 30247 32333 33502 60494 64666 67004 69397 74183 120988 129332 133951 138794 148366 267902 277588 296732 356557 485779 519281 535804 713114 937657 971558 1038562 1426228 1875314 1943116 2077124 2151307 2495899 3750628 4302614 4991798 8605228 9983596 10340153 11053267 15059149 20680306 22106534 30118298 41360612 44213068 60236596 72381071 77372869 144762142 154745738 289524284 309491476 320544743 641089486 1282178972 2243813201 4487626402 8975252804