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66361428 = 22327713709
BaseRepresentation
bin1111110100100…
…1100001010100
311121212111202200
43331021201110
5113442031203
610330204500
71434030360
oct375114124
9147774680
1066361428
1134506361
121a283730
1310996623
148b562a0
155c5c9a3
hex3f49854

66361428 has 72 divisors (see below), whose sum is σ = 194463360. Its totient is φ = 18688320.

The previous prime is 66361403. The next prime is 66361441. The reversal of 66361428 is 82416366.

66361428 is a `hidden beast` number, since 6 + 636 + 14 + 2 + 8 = 666.

66361428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 66361392 and 66361401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16038 + ... + 19746.

It is an arithmetic number, because the mean of its divisors is an integer number (2700880).

Almost surely, 266361428 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 66361428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97231680).

66361428 is an abundant number, since it is smaller than the sum of its proper divisors (128101932).

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

66361428 is a wasteful number, since it uses less digits than its factorization.

66361428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3797 (or 3792 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 66361428 is about 8146.2523899030. The cubic root of 66361428 is about 404.8603450815.

The spelling of 66361428 in words is "sixty-six million, three hundred sixty-one thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 71 84 126 142 213 252 284 426 497 639 852 994 1278 1491 1988 2556 2982 3709 4473 5964 7418 8946 11127 14836 17892 22254 25963 33381 44508 51926 66762 77889 103852 133524 155778 233667 263339 311556 467334 526678 790017 934668 1053356 1580034 1843373 2370051 3160068 3686746 4740102 5530119 7373492 9480204 11060238 16590357 22120476 33180714 66361428