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4064402408 = 23111014311061
BaseRepresentation
bin1111001001000001…
…1101101111101000
3101111020220000221112
43302100131233220
531310441334113
61511150125452
7202501564463
oct36220355750
911436800845
104064402408
1117a6281760
129551b0888
134ca080451
142a7b1a2da
1518bc475a8
hexf241dbe8

4064402408 has 64 divisors (see below), whose sum is σ = 8423274240. Its totient is φ = 1823200000.

The previous prime is 4064402393. The next prime is 4064402411. The reversal of 4064402408 is 8042044604.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3830198 + ... + 3831258.

It is an arithmetic number, because the mean of its divisors is an integer number (131613660).

Almost surely, 24064402408 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 4064402408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4211637120).

4064402408 is an abundant number, since it is smaller than the sum of its proper divisors (4358871832).

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

4064402408 is a wasteful number, since it uses less digits than its factorization.

4064402408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The square root of 4064402408 is about 63752.6658893571. The cubic root of 4064402408 is about 1595.8751051233.

The spelling of 4064402408 in words is "four billion, sixty-four million, four hundred two thousand, four hundred eight".

Divisors: 1 2 4 8 11 22 44 88 101 202 404 431 808 862 1061 1111 1724 2122 2222 3448 4244 4444 4741 8488 8888 9482 11671 18964 23342 37928 43531 46684 87062 93368 107161 174124 214322 348248 428644 457291 478841 857288 914582 957682 1178771 1829164 1915364 2357542 3658328 3830728 4715084 5030201 9430168 10060402 20120804 40241608 46186391 92372782 184745564 369491128 508050301 1016100602 2032201204 4064402408