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64042104 = 23371033701
BaseRepresentation
bin1111010001001…
…1010001111000
311110111200020210
43310103101320
5112343321404
610204351120
71405230450
oct364232170
9143450223
1064042104
1133171865
12195454a0
1310363a49
148710d60
155950689
hex3d13478

64042104 has 64 divisors (see below), whose sum is σ = 184803840. Its totient is φ = 18115200.

The previous prime is 64042091. The next prime is 64042127. The reversal of 64042104 is 40124046.

64042104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15454 + ... + 19154.

It is an arithmetic number, because the mean of its divisors is an integer number (2887560).

Almost surely, 264042104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64042104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92401920).

64042104 is an abundant number, since it is smaller than the sum of its proper divisors (120761736).

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

64042104 is a wasteful number, since it uses less digits than its factorization.

64042104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820 (or 3816 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 64042104 is about 8002.6310673428. The cubic root of 64042104 is about 400.0876974382.

It can be divided in two parts, 64042 and 104, that added together give a palindrome (64146).

The spelling of 64042104 in words is "sixty-four million, forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 103 168 206 309 412 618 721 824 1236 1442 2163 2472 2884 3701 4326 5768 7402 8652 11103 14804 17304 22206 25907 29608 44412 51814 77721 88824 103628 155442 207256 310884 381203 621768 762406 1143609 1524812 2287218 2668421 3049624 4574436 5336842 8005263 9148872 10673684 16010526 21347368 32021052 64042104