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66423192 = 23311289257
BaseRepresentation
bin1111110101100…
…0100110011000
311121222122111020
43331120212120
5114001020232
610331402440
71434405423
oct375304630
9147878436
1066423192
1134548800
121a2b3420
13109b8784
148b709ba
155c70e2c
hex3f58998

66423192 has 96 divisors (see below), whose sum is σ = 185295600. Its totient is φ = 19824640.

The previous prime is 66423179. The next prime is 66423193. The reversal of 66423192 is 29132466.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66423193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258328 + ... + 258584.

Almost surely, 266423192 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 66423192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92647800).

66423192 is an abundant number, since it is smaller than the sum of its proper divisors (118872408).

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

66423192 is a wasteful number, since it uses less digits than its factorization.

66423192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 362 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 66423192 is about 8150.0424538772. The cubic root of 66423192 is about 404.9859101942.

The spelling of 66423192 in words is "sixty-six million, four hundred twenty-three thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 89 121 132 178 242 257 264 267 356 363 484 514 534 712 726 771 968 979 1028 1068 1452 1542 1958 2056 2136 2827 2904 2937 3084 3916 5654 5874 6168 7832 8481 10769 11308 11748 16962 21538 22616 22873 23496 31097 32307 33924 43076 45746 62194 64614 67848 68619 86152 91492 93291 124388 129228 137238 182984 186582 248776 251603 258456 274476 373164 503206 548952 746328 754809 1006412 1509618 2012824 2767633 3019236 5535266 6038472 8302899 11070532 16605798 22141064 33211596 66423192