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66378192 = 2433121439
BaseRepresentation
bin1111110100110…
…1100111010000
311121220100202120
43331031213100
5113443100232
610330414240
71434130266
oct375154720
9147810676
1066378192
1134517a11
121a291380
13109a114a
148b5c436
155c6292c
hex3f4d9d0

66378192 has 60 divisors (see below), whose sum is σ = 177310080. Its totient is φ = 21397440.

The previous prime is 66378163. The next prime is 66378203. The reversal of 66378192 is 29187366.

It is a happy number.

Its product of digits (108864) is a multiple of the sum of its prime factors (1512).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45409 + ... + 46847.

It is an arithmetic number, because the mean of its divisors is an integer number (2955168).

Almost surely, 266378192 is an apocalyptic number.

66378192 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 66378192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88655040).

66378192 is an abundant number, since it is smaller than the sum of its proper divisors (110931888).

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

66378192 is a wasteful number, since it uses less digits than its factorization.

66378192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1475 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 66378192 is about 8147.2812643237. The cubic root of 66378192 is about 404.8944336959.

The spelling of 66378192 in words is "sixty-six million, three hundred seventy-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 961 1439 1488 1922 2878 2883 3844 4317 5756 5766 7688 8634 11512 11532 15376 17268 23024 23064 34536 44609 46128 69072 89218 133827 178436 267654 356872 535308 713744 1070616 1382879 2141232 2765758 4148637 5531516 8297274 11063032 16594548 22126064 33189096 66378192