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4001321536 = 2679072
BaseRepresentation
bin1110111001111111…
…0101001001000000
3101022212012012020221
43232133311021000
531143314242121
61501014112424
7201104446312
oct35637651100
911285165227
104001321536
111773707103
1293804b714
134b9c950a4
1429d5b97b2
15186436b41
hexee7f5240

4001321536 has 21 divisors (see below), whose sum is σ = 7941126739. Its totient is φ = 2000407744.

The previous prime is 4001321507. The next prime is 4001321537. The reversal of 4001321536 is 6351231004.

The square root of 4001321536 is 63256.

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

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4001321536.

It is not an unprimeable number, because it can be changed into a prime (4001321537) 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 2 ways as a sum of consecutive naturals, for example, 502095 + ... + 510001.

Almost surely, 24001321536 is an apocalyptic number.

4001321536 is the 63256-th square number.

It is an amenable number.

4001321536 is a deficient number, since it is larger than the sum of its proper divisors (3939805203).

4001321536 is an frugal number, since it uses more digits than its factorization.

4001321536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15826 (or 7909 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The cubic root of 4001321536 is about 1587.5758500225.

Multiplying 4001321536 by its sum of digits (25), we get a square (100033038400 = 3162802).

The spelling of 4001321536 in words is "four billion, one million, three hundred twenty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 7907 15814 31628 63256 126512 253024 506048 62520649 125041298 250082596 500165192 1000330384 2000660768 4001321536