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8496230625 = 325412292
BaseRepresentation
bin1111110100110101…
…00011000011100001
3210221010011020100100
413322122203003201
5114400013340000
63523023413013
7420354524451
oct77232430341
923833136310
108496230625
11366a99a903
121791454169
13a552a85cc
145a855bd61
1534ad6ba00
hex1fa6a30e1

8496230625 has 45 divisors (see below), whose sum is σ = 15347995663. Its totient is φ = 4527636000.

The previous prime is 8496230599. The next prime is 8496230651. The reversal of 8496230625 is 5260326948.

The square root of 8496230625 is 92175.

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

It is an interprime number because it is at equal distance from previous prime (8496230599) and next prime (8496230651).

It can be written as a sum of positive squares in 7 ways, for example, as 1275989841 + 7220240784 = 35721^2 + 84972^2 .

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

It is not a de Polignac number, because 8496230625 - 213 = 8496222433 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 (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6912511 + ... + 6913739.

Almost surely, 28496230625 is an apocalyptic number.

8496230625 is the 92175-th square number.

8496230625 is the 46088-th centered octagonal number.

It is an amenable number.

8496230625 is a deficient number, since it is larger than the sum of its proper divisors (6851765038).

8496230625 is an frugal number, since it uses more digits than its factorization.

8496230625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The cubic root of 8496230625 is about 2040.5258340274.

It can be divided in two parts, 8496 and 230625, that added together give a square (239121 = 4892).

The spelling of 8496230625 in words is "eight billion, four hundred ninety-six million, two hundred thirty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1125 1229 1875 3687 5625 6145 11061 18435 30725 55305 92175 153625 276525 460875 768125 1382625 1510441 2304375 4531323 6913125 7552205 13593969 22656615 37761025 67969845 113283075 188805125 339849225 566415375 944025625 1699246125 2832076875 8496230625