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43804397025 = 345246512
BaseRepresentation
bin101000110010111100…
…100000110111100001
311012001210200221010000
4220302330200313201
51204202411201100
632042400130213
73110341142214
oct506274406741
9135053627100
1043804397025
1117639492914
1285a6006969
1341912c916c
14219796577b
1512159c0900
hexa32f20de1

43804397025 has 45 divisors (see below), whose sum is σ = 81158335203. Its totient is φ = 23357322000.

The previous prime is 43804396997. The next prime is 43804397027. The reversal of 43804397025 is 52079340834.

The square root of 43804397025 is 209295.

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., 15769582929 + 28034814096 = 125577^2 + 167436^2 .

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

It is not a de Polignac number, because 43804397025 - 29 = 43804396513 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 not an unprimeable number, because it can be changed into a prime (43804397027) by changing a digit.

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, 9415950 + ... + 9420600.

Almost surely, 243804397025 is an apocalyptic number.

43804397025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

43804397025 is the 209295-th square number.

43804397025 is the 104648-th centered octagonal number.

It is an amenable number.

43804397025 is a deficient number, since it is larger than the sum of its proper divisors (37353938178).

43804397025 is an frugal number, since it uses more digits than its factorization.

43804397025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9324 (or 4659 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 43804397025 in words is "forty-three billion, eight hundred four million, three hundred ninety-seven thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 4651 13953 23255 41859 69765 116275 125577 209295 348825 376731 627885 1046475 1883655 3139425 9418275 21631801 64895403 108159005 194686209 324477015 540795025 584058627 973431045 1622385075 1752175881 2920293135 4867155225 8760879405 14601465675 43804397025