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66932892 = 2235135297
BaseRepresentation
bin1111111101010…
…1000010011100
311122221112200000
43333111002130
5114113323032
610350334300
71441630425
oct377250234
9148845600
1066932892
1134866744
121a4ba390
1310b36780
148c6464c
155d21e7c
hex3fd509c

66932892 has 72 divisors (see below), whose sum is σ = 188990256. Its totient is φ = 20590848.

The previous prime is 66932891. The next prime is 66932909. The reversal of 66932892 is 29823966.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66932891) 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, 9988 + ... + 15284.

Almost surely, 266932892 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 66932892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94495128).

66932892 is an abundant number, since it is smaller than the sum of its proper divisors (122057364).

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

66932892 is a wasteful number, since it uses less digits than its factorization.

66932892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5329 (or 5315 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 66932892 is about 8181.2524713518. The cubic root of 66932892 is about 406.0191615763.

The spelling of 66932892 in words is "sixty-six million, nine hundred thirty-two thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 972 1053 1404 2106 3159 4212 5297 6318 10594 12636 15891 21188 31782 47673 63564 68861 95346 137722 143019 190692 206583 275444 286038 413166 429057 572076 619749 826332 858114 1239498 1287171 1716228 1859247 2478996 2574342 3718494 5148684 5577741 7436988 11155482 16733223 22310964 33466446 66932892