Search a number
-
+
66219392 = 272383271
BaseRepresentation
bin1111110010011…
…0110110000000
311121121021221002
43330212312000
5113423010032
610323151132
71432566311
oct374466600
9147537832
1066219392
1134419678
121a2154a8
1310946a95
148b1a608
155c30862
hex3f26d80

66219392 has 64 divisors (see below), whose sum is σ = 139829760. Its totient is φ = 31173120.

The previous prime is 66219371. The next prime is 66219407. The reversal of 66219392 is 29391266.

66219392 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 (64).

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 7 ways as a sum of consecutive naturals, for example, 244217 + ... + 244487.

It is an arithmetic number, because the mean of its divisors is an integer number (2184840).

Almost surely, 266219392 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 66219392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69914880).

66219392 is an abundant number, since it is smaller than the sum of its proper divisors (73610368).

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

66219392 is a wasteful number, since it uses less digits than its factorization.

66219392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 379 counting only the distinct ones).

The product of its digits is 34992, while the sum is 38.

The square root of 66219392 is about 8137.5298463354. The cubic root of 66219392 is about 404.5712925343.

The spelling of 66219392 in words is "sixty-six million, two hundred nineteen thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 23 32 46 64 83 92 128 166 184 271 332 368 542 664 736 1084 1328 1472 1909 2168 2656 2944 3818 4336 5312 6233 7636 8672 10624 12466 15272 17344 22493 24932 30544 34688 44986 49864 61088 89972 99728 122176 179944 199456 244352 359888 398912 517339 719776 797824 1034678 1439552 2069356 2879104 4138712 8277424 16554848 33109696 66219392