Search a number
-
+
64199328 = 2531961577
BaseRepresentation
bin1111010011100…
…1101010100000
311110210122220220
43310321222200
5112413334303
610212003040
71406454024
oct364715240
9143718826
1064199328
11332699a6
1219600480
13103ba48b
148752384
155982053
hex3d39aa0

64199328 has 96 divisors (see below), whose sum is σ = 180613440. Its totient is φ = 19906560.

The previous prime is 64199323. The next prime is 64199383. The reversal of 64199328 is 82399146.

64199328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 64199328.

It is not an unprimeable number, because it can be changed into a prime (64199323) by changing a digit.

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, 110976 + ... + 111552.

It is an arithmetic number, because the mean of its divisors is an integer number (1881390).

Almost surely, 264199328 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 64199328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90306720).

64199328 is an abundant number, since it is smaller than the sum of its proper divisors (116414112).

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

64199328 is a wasteful number, since it uses less digits than its factorization.

64199328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 662 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 64199328 is about 8012.4483149659. The cubic root of 64199328 is about 400.4148362951.

The spelling of 64199328 in words is "sixty-four million, one hundred ninety-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 61 76 96 114 122 152 183 228 244 304 366 456 488 577 608 732 912 976 1154 1159 1464 1731 1824 1952 2308 2318 2928 3462 3477 4616 4636 5856 6924 6954 9232 9272 10963 13848 13908 18464 18544 21926 27696 27816 32889 35197 37088 43852 55392 55632 65778 70394 87704 105591 111264 131556 140788 175408 211182 263112 281576 350816 422364 526224 563152 668743 844728 1052448 1126304 1337486 1689456 2006229 2674972 3378912 4012458 5349944 8024916 10699888 16049832 21399776 32099664 64199328