Search a number
-
+
28918703025 = 345237792
BaseRepresentation
bin11010111011101100…
…000110001110110001
32202122101122022210000
4122323230012032301
5433211141444100
621141324100213
72042426630352
oct327354061661
982571568700
1028918703025
111129a943673
125730994669
13295b3623c4
1415849b7d29
15b43c39900
hex6bbb063b1

28918703025 has 45 divisors (see below), whose sum is σ = 53581613371. Its totient is φ = 15419226960.

The previous prime is 28918703017. The next prime is 28918703063. The reversal of 28918703025 is 52030781982.

It is a happy number.

The square root of 28918703025 is 170055.

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

It can be written as a sum of positive squares in only one way, i.e., 10410733089 + 18507969936 = 102033^2 + 136044^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 28918703025 - 23 = 28918703017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 7650586 + ... + 7654364.

Almost surely, 228918703025 is an apocalyptic number.

28918703025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

28918703025 is the 170055-th square number.

28918703025 is the 85028-th centered octagonal number.

It is an amenable number.

28918703025 is a deficient number, since it is larger than the sum of its proper divisors (24662910346).

28918703025 is an frugal number, since it uses more digits than its factorization.

28918703025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7580 (or 3787 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 28918703025 in words is "twenty-eight billion, nine hundred eighteen million, seven hundred three thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 3779 11337 18895 34011 56685 94475 102033 170055 283425 306099 510165 850275 1530495 2550825 7652475 14280841 42842523 71404205 128527569 214212615 357021025 385582707 642637845 1071063075 1156748121 1927913535 3213189225 5783740605 9639567675 28918703025