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8728704225 = 32523741107239
BaseRepresentation
bin10000010000100010…
…10111010011100001
3211112022121010011200
420020101113103201
5120334022013400
64002050231413
7426206522163
oct101021272341
924468533150
108728704225
11377a14274a
121837285569
13a914c2757
145cb394933
1536148cb00
hex2084574e1

8728704225 has 144 divisors (see below), whose sum is σ = 16671432960. Its totient is φ = 4359398400.

The previous prime is 8728704223. The next prime is 8728704227. The reversal of 8728704225 is 5224078278.

It is an interprime number because it is at equal distance from previous prime (8728704223) and next prime (8728704227).

It is not a de Polignac number, because 8728704225 - 21 = 8728704223 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (8728704221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36521656 + ... + 36521894.

It is an arithmetic number, because the mean of its divisors is an integer number (115773840).

Almost surely, 28728704225 is an apocalyptic number.

It is an amenable number.

8728704225 is a deficient number, since it is larger than the sum of its proper divisors (7942728735).

8728704225 is a wasteful number, since it uses less digits than its factorization.

8728704225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 8728704225 is about 93427.5346190833. The cubic root of 8728704225 is about 2058.9695591887.

The spelling of 8728704225 in words is "eight billion, seven hundred twenty-eight million, seven hundred four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 37 41 45 75 107 111 123 185 205 225 239 321 333 369 535 555 615 717 925 963 1025 1195 1517 1605 1665 1845 2151 2675 2775 3075 3585 3959 4387 4551 4815 5975 7585 8025 8325 8843 9225 9799 10755 11877 13161 13653 17925 19795 21935 22755 24075 25573 26529 29397 35631 37925 39483 44215 48995 53775 59385 65805 68265 76719 79587 88191 98975 109675 113775 127865 132645 146985 162319 178155 197415 221075 230157 244975 296925 329025 341325 362563 383595 397935 440955 486957 639325 663225 734925 811595 890775 946201 987075 1048493 1087689 1150785 1460871 1812815 1917975 1989675 2204775 2434785 2838603 3145479 3263067 4057975 4731005 5242465 5438445 5753925 7304355 8515809 9064075 9436437 12173925 14193015 15727395 16315335 23655025 26212325 27192225 36521775 38794241 42579045 47182185 70965075 78636975 81576675 116382723 193971205 212895225 235910925 349148169 581913615 969856025 1745740845 2909568075 8728704225