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39954013225 = 527257112
BaseRepresentation
bin100101001101011100…
…011101110000101001
310211010110112011111121
4211031130131300221
51123311211410400
630204333055241
72613045336400
oct451534356051
9124113464447
1039954013225
1115a42aa9545
1278b0627521
1339c96a0a59
141d1043a637
15108c95121a
hex94d71dc29

39954013225 has 27 divisors (see below), whose sum is σ = 57641718711. Its totient is φ = 27392240400.

The previous prime is 39954013213. The next prime is 39954013273. The reversal of 39954013225 is 52231045993.

The square root of 39954013225 is 199885.

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

39954013225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 14383444761 + 25570568464 = 119931^2 + 159908^2 .

It is not a de Polignac number, because 39954013225 - 231 = 37806529577 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6993120 + ... + 6998830.

Almost surely, 239954013225 is an apocalyptic number.

39954013225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

39954013225 is the 199885-th square number.

39954013225 is the 99943-rd centered octagonal number.

It is an amenable number.

39954013225 is a deficient number, since it is larger than the sum of its proper divisors (17687705486).

39954013225 is an frugal number, since it uses more digits than its factorization.

39954013225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11446 (or 5723 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 43.

The spelling of 39954013225 in words is "thirty-nine billion, nine hundred fifty-four million, thirteen thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 5711 28555 39977 142775 199885 279839 999425 1399195 6995975 32615521 163077605 228308647 815388025 1141543235 1598160529 5707716175 7990802645 39954013225