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3826164736 = 21019332
BaseRepresentation
bin1110010000001110…
…1010010000000000
3100212122121022022001
43210003222100000
530313444232421
61431355553344
7163546602142
oct34403522000
910778538261
103826164736
111693852219
128a945b854
1348c8c8804
14284222c92
15175d88691
hexe40ea400

3826164736 has 33 divisors (see below), whose sum is σ = 7652551881. Its totient is φ = 1912092672.

The previous prime is 3826164733. The next prime is 3826164737. The reversal of 3826164736 is 6374616283.

The square root of 3826164736 is 61856.

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., 2605081600 + 1221083136 = 51040^2 + 34944^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3826164733) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1978426 + ... + 1980358.

Almost surely, 23826164736 is an apocalyptic number.

3826164736 is the 61856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3826164736

3826164736 is an abundant number, since it is smaller than the sum of its proper divisors (3826387145).

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

3826164736 is an frugal number, since it uses more digits than its factorization.

3826164736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3886 (or 1935 counting only the distinct ones).

The product of its digits is 870912, while the sum is 46.

The cubic root of 3826164736 is about 1564.0641256797.

The spelling of 3826164736 in words is "three billion, eight hundred twenty-six million, one hundred sixty-four thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1933 3866 7732 15464 30928 61856 123712 247424 494848 989696 1979392 3736489 7472978 14945956 29891912 59783824 119567648 239135296 478270592 956541184 1913082368 3826164736