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3967236196 = 22721124092
BaseRepresentation
bin1110110001110111…
…0011100001100100
3101020111001110221221
43230131303201210
531111103024241
61453355350124
7200211644200
oct35435634144
911214043857
103967236196
111756446300
12928752344
134b2bbc751
14298c65b00
151834525d1
hexec773864

3967236196 has 81 divisors (see below), whose sum is σ = 8898858297. Its totient is φ = 1541897280.

The previous prime is 3967236193. The next prime is 3967236197. The reversal of 3967236196 is 6916327693.

The square root of 3967236196 is 62986.

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., 3625725796 + 341510400 = 60214^2 + 18480^2 .

It is not an unprimeable number, because it can be changed into a prime (3967236193) 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 26 ways as a sum of consecutive naturals, for example, 9699640 + ... + 9700048.

Almost surely, 23967236196 is an apocalyptic number.

3967236196 is the 62986-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3967236196

3967236196 is an abundant number, since it is smaller than the sum of its proper divisors (4931622101).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3967236196 is a wasteful number, since it uses less digits than its factorization.

3967236196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 429 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 52.

The cubic root of 3967236196 is about 1583.0550562568.

The spelling of 3967236196 in words is "three billion, nine hundred sixty-seven million, two hundred thirty-six thousand, one hundred ninety-six".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 409 484 539 818 847 1078 1636 1694 2156 2863 3388 4499 5726 5929 8998 11452 11858 17996 20041 23716 31493 40082 49489 62986 80164 98978 125972 167281 197956 220451 334562 346423 440902 669124 692846 881804 1170967 1385692 1840091 2341934 2424961 3680182 4683868 4849922 7360364 8196769 9699844 12880637 16393538 20241001 25761274 32787076 40482002 51522548 80964004 90164459 141687007 180328918 283374014 360657836 566748028 991809049 1983618098 3967236196