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4258084516 = 2272592792
BaseRepresentation
bin1111110111001101…
…0011011010100100
3101222202100002211221
43331303103122210
532210032201031
61542305310124
7210343056400
oct37563233244
911882302757
104258084516
111895639a14
129aa035344
1352b234b4a
142c5736100
1519dc54a11
hexfdcd36a4

4258084516 has 81 divisors (see below), whose sum is σ = 8930681739. Its totient is φ = 1771254576.

The previous prime is 4258084483. The next prime is 4258084517. The reversal of 4258084516 is 6154808524.

The square root of 4258084516 is 65254.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (4258084517) 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 26 ways as a sum of consecutive naturals, for example, 53899765 + ... + 53899843.

Almost surely, 24258084516 is an apocalyptic number.

4258084516 is the 65254-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4258084516

4258084516 is an abundant number, since it is smaller than the sum of its proper divisors (4672597223).

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

4258084516 is an equidigital number, since it uses as much as digits as its factorization.

4258084516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 43.

The cubic root of 4258084516 is about 1620.8323360890.

The spelling of 4258084516 in words is "four billion, two hundred fifty-eight million, eighty-four thousand, five hundred sixteen".

Divisors: 1 2 4 7 14 28 49 59 79 98 118 158 196 236 316 413 553 826 1106 1652 2212 2891 3481 3871 4661 5782 6241 6962 7742 9322 11564 12482 13924 15484 18644 24367 24964 32627 43687 48734 65254 87374 97468 130508 170569 174748 228389 274999 305809 341138 368219 456778 549998 611618 682276 736438 913556 1099996 1223236 1472876 1924993 2577533 3849986 5155066 7699972 10310132 13474951 18042731 21724921 26949902 36085462 43449842 53899804 72170924 86899684 152074447 304148894 608297788 1064521129 2129042258 4258084516