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43457656225 = 5217322412
BaseRepresentation
bin101000011110010001…
…110011010110100001
311011011122020200011011
4220132101303112201
51203000124444400
631544132220521
73065630661124
oct503621632641
9134148220134
1043457656225
1117480794375
128509a6a741
1341375145a9
1421638a63bb
1511e532c8ba
hexa1e4735a1

43457656225 has 27 divisors (see below), whose sum is σ = 54426615339. Its totient is φ = 34421740800.

The previous prime is 43457656217. The next prime is 43457656241. The reversal of 43457656225 is 52265675434.

The square root of 43457656225 is 208465.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1439215969 + 42018440256 = 37937^2 + 204984^2 .

It is not a de Polignac number, because 43457656225 - 23 = 43457656217 is a prime.

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 180322105 + ... + 180322345.

Almost surely, 243457656225 is an apocalyptic number.

43457656225 is the 208465-th square number.

43457656225 is the 104233-rd centered octagonal number.

It is an amenable number.

43457656225 is a deficient number, since it is larger than the sum of its proper divisors (10968959114).

43457656225 is an frugal number, since it uses more digits than its factorization.

43457656225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 419 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 49.

Multiplying 43457656225 by its sum of digits (49), we get a square (2129425155025 = 14592552).

The spelling of 43457656225 in words is "forty-three billion, four hundred fifty-seven million, six hundred fifty-six thousand, two hundred twenty-five".

Divisors: 1 5 25 173 241 865 1205 4325 6025 29929 41693 58081 149645 208465 290405 748225 1042325 1452025 7212889 10048013 36064445 50240065 180322225 251200325 1738306249 8691531245 43457656225