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66440192 = 2107132331
BaseRepresentation
bin1111110101110…
…0110000000000
311122000111210212
43331130300000
5114002041232
610332013252
71434506120
oct375346000
9148014725
1066440192
113455a555
121a301228
13109c3430
148b76c80
155c75eb2
hex3f5cc00

66440192 has 176 divisors, whose sum is σ = 176074752. Its totient is φ = 24330240.

The previous prime is 66440173. The next prime is 66440201. The reversal of 66440192 is 29104466.

It is a happy number.

It is a super-2 number, since 2×664401922 = 8828598225993728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2143217 + ... + 2143247.

Almost surely, 266440192 is an apocalyptic number.

66440192 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66440192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88037376).

66440192 is an abundant number, since it is smaller than the sum of its proper divisors (109634560).

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

66440192 is a wasteful number, since it uses less digits than its factorization.

66440192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 66440192 is about 8151.0853265071. The cubic root of 66440192 is about 405.0204572301.

The spelling of 66440192 in words is "sixty-six million, four hundred forty thousand, one hundred ninety-two".