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66164252 = 22711259331
BaseRepresentation
bin1111110001100…
…1011000011100
311121111111021212
43330121120130
5113414224002
610322043552
71432246460
oct374313034
9147444255
1066164252
1134391200
121a1a95b8
131092795b
148b044a0
155c1e352
hex3f1961c

66164252 has 72 divisors (see below), whose sum is σ = 148364160. Its totient is φ = 25264800.

The previous prime is 66164243. The next prime is 66164257. The reversal of 66164252 is 25246166.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66164257) 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, 199727 + ... + 200057.

Almost surely, 266164252 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 66164252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74182080).

66164252 is an abundant number, since it is smaller than the sum of its proper divisors (82199908).

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

66164252 is a wasteful number, since it uses less digits than its factorization.

66164252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 410 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 66164252 is about 8134.1411347480. The cubic root of 66164252 is about 404.4589676542.

The spelling of 66164252 in words is "sixty-six million, one hundred sixty-four thousand, two hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 28 44 59 77 118 121 154 236 242 308 331 413 484 649 662 826 847 1298 1324 1652 1694 2317 2596 3388 3641 4543 4634 7139 7282 9086 9268 14278 14564 18172 19529 25487 28556 39058 40051 49973 50974 78116 80102 99946 101948 136703 160204 199892 214819 273406 280357 429638 546812 560714 859276 1121428 1503733 2363009 3007466 4726018 6014932 9452036 16541063 33082126 66164252