Search a number
-
+
28259291025 = 32527216012
BaseRepresentation
bin11010010100011000…
…101000111110010001
32200221102211201120100
4122110120220332101
5430333334303100
620552050403013
72020202003400
oct322430507621
980842751510
1028259291025
1110a916a6679
125587b90469
1328848643a4
1415211a7637
15b05dd3400
hex694628f91

28259291025 has 81 divisors (see below), whose sum is σ = 58916089713. Its totient is φ = 12910464000.

The previous prime is 28259291003. The next prime is 28259291101. The reversal of 28259291025 is 52019295282.

It is a happy number.

The square root of 28259291025 is 168105.

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

28259291025 is a `hidden beast` number, since 28 + 2 + 592 + 9 + 10 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8839196289 + 19420094736 = 94017^2 + 139356^2 .

It is not a de Polignac number, because 28259291025 - 223 = 28250902417 is a prime.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 17650225 + ... + 17651825.

Almost surely, 228259291025 is an apocalyptic number.

28259291025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

28259291025 is the 168105-th square number.

28259291025 is the 84053-rd centered octagonal number.

It is an amenable number.

28259291025 is an abundant number, since it is smaller than the sum of its proper divisors (30656798688).

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

28259291025 is an equidigital number, since it uses as much as digits as its factorization.

28259291025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3232 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 28259291025 in words is "twenty-eight billion, two hundred fifty-nine million, two hundred ninety-one thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1575 1601 2205 3675 4803 8005 11025 11207 14409 24015 33621 40025 56035 72045 78449 100863 120075 168105 235347 280175 360225 392245 504315 706041 840525 1176735 1961225 2521575 2563201 3530205 5883675 7689603 12816005 17651025 17942407 23068809 38448015 53827221 64080025 89712035 115344045 125596849 161481663 192240075 269136105 376790547 448560175 576720225 627984245 807408315 1130371641 1345680525 1883952735 3139921225 4037041575 5651858205 9419763675 28259291025