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3959303929 = 728921012
BaseRepresentation
bin1110101111111110…
…0010111011111001
3101012221010110221021
43223333202323321
531102040211204
61452513342441
7200054346100
oct35377427371
911187113837
103959303929
111751a18709
12925b67a21
134b13730b9
14297b9d037
151828d7154
hexebfe2ef9

3959303929 has 27 divisors (see below), whose sum is σ = 4704627981. Its totient is φ = 3322334400.

The previous prime is 3959303903. The next prime is 3959303941. The reversal of 3959303929 is 9293039593.

The square root of 3959303929 is 62923.

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

It can be written as a sum of positive squares in 4 ways, for example, as 250493929 + 3708810000 = 15827^2 + 60900^2 .

It is not a de Polignac number, because 3959303929 - 25 = 3959303897 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3959303729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39200979 + ... + 39201079.

Almost surely, 23959303929 is an apocalyptic number.

3959303929 is the 62923-rd square number.

3959303929 is the 31462-nd centered octagonal number.

It is an amenable number.

3959303929 is a deficient number, since it is larger than the sum of its proper divisors (745324052).

3959303929 is an frugal number, since it uses more digits than its factorization.

3959303929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1771470, while the sum is 52.

The cubic root of 3959303929 is about 1581.9992755890. Note that the first 3 decimals are identical.

The spelling of 3959303929 in words is "three billion, nine hundred fifty-nine million, three hundred three thousand, nine hundred twenty-nine".

Divisors: 1 7 49 89 101 623 707 4361 4949 7921 8989 10201 55447 62923 71407 388129 440461 499849 800021 907889 5600147 6355223 39201029 44486561 80802121 565614847 3959303929