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64048468 = 221119233331
BaseRepresentation
bin1111010001010…
…0110101010100
311110111222222111
43310110311110
5112344022333
610204440404
71405255141
oct364246524
9143458874
1064048468
1133176620
1219549104
1310366903
1487133c8
1559524cd
hex3d14d54

64048468 has 48 divisors (see below), whose sum is σ = 134346240. Its totient is φ = 26373600.

The previous prime is 64048447. The next prime is 64048477. The reversal of 64048468 is 86484046.

64048468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 64048468.

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, 17563 + ... + 20893.

It is an arithmetic number, because the mean of its divisors is an integer number (2798880).

Almost surely, 264048468 is an apocalyptic number.

It is an amenable number.

64048468 is an abundant number, since it is smaller than the sum of its proper divisors (70297772).

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

64048468 is a wasteful number, since it uses less digits than its factorization.

64048468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3388 (or 3386 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 64048468 is about 8003.0286766948. The cubic root of 64048468 is about 400.1009495208.

It can be divided in two parts, 64048 and 468, that added together give a square (64516 = 2542).

The spelling of 64048468 in words is "sixty-four million, forty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 4 11 19 22 23 38 44 46 76 92 209 253 418 437 506 836 874 1012 1748 3331 4807 6662 9614 13324 19228 36641 63289 73282 76613 126578 146564 153226 253156 306452 696179 842743 1392358 1455647 1685486 2784716 2911294 3370972 5822588 16012117 32024234 64048468