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66246432 = 2537214083
BaseRepresentation
bin1111110010110…
…1011100100000
311121122200000120
43330231130200
5113424341212
610323520240
71433041200
oct374553440
9147580016
1066246432
1134437a1a
121a229080
1310956195
148b26400
155c3888c
hex3f2d720

66246432 has 72 divisors (see below), whose sum is σ = 202302576. Its totient is φ = 18926208.

The previous prime is 66246431. The next prime is 66246437. The reversal of 66246432 is 23464266.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 66246393 and 66246402.

It is not an unprimeable number, because it can be changed into a prime (66246431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2338 + ... + 11745.

It is an arithmetic number, because the mean of its divisors is an integer number (2809758).

Almost surely, 266246432 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 66246432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101151288).

66246432 is an abundant number, since it is smaller than the sum of its proper divisors (136056144).

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

66246432 is a wasteful number, since it uses less digits than its factorization.

66246432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14110 (or 14095 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 66246432 is about 8139.1911146010. The cubic root of 66246432 is about 404.6263525338.

The spelling of 66246432 in words is "sixty-six million, two hundred forty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 14083 28166 42249 56332 84498 98581 112664 168996 197162 225328 295743 337992 394324 450656 591486 675984 690067 788648 1182972 1351968 1380134 1577296 2070201 2365944 2760268 3154592 4140402 4731888 5520536 8280804 9463776 11041072 16561608 22082144 33123216 66246432