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66422272 = 29743431
BaseRepresentation
bin1111110101100…
…0011000000000
311121222121020011
43331120120000
5114001003042
610331354304
71434402640
oct375303000
9147877204
1066422272
1134548044
121a2b2994
13109b8227
148b70520
155c70a17
hex3f58600

66422272 has 80 divisors (see below), whose sum is σ = 155561472. Its totient is φ = 27740160.

The previous prime is 66422269. The next prime is 66422297. The reversal of 66422272 is 27222466.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153897 + ... + 154327.

Almost surely, 266422272 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 66422272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77780736).

66422272 is an abundant number, since it is smaller than the sum of its proper divisors (89139200).

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

66422272 is an equidigital number, since it uses as much as digits as its factorization.

66422272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 483 counting only the distinct ones).

The product of its digits is 16128, while the sum is 31.

The square root of 66422272 is about 8149.9860122579. The cubic root of 66422272 is about 404.9840404218.

The spelling of 66422272 in words is "sixty-six million, four hundred twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 172 224 256 301 344 431 448 512 602 688 862 896 1204 1376 1724 1792 2408 2752 3017 3448 3584 4816 5504 6034 6896 9632 11008 12068 13792 18533 19264 22016 24136 27584 37066 38528 48272 55168 74132 77056 96544 110336 129731 148264 154112 193088 220672 259462 296528 386176 518924 593056 772352 1037848 1186112 1544704 2075696 2372224 4151392 4744448 8302784 9488896 16605568 33211136 66422272