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66202032 = 2431328161
BaseRepresentation
bin1111110010001…
…0100110110000
311121120102010010
43330202212300
5113421431112
610322534520
71432464561
oct374424660
9147512103
1066202032
1134407626
121a207440
131093bc00
148b14168
155c2a63c
hex3f229b0

66202032 has 60 divisors (see below), whose sum is σ = 185212104. Its totient is φ = 20367360.

The previous prime is 66202013. The next prime is 66202049. The reversal of 66202032 is 23020266.

66202032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 4032 + ... + 12192.

Almost surely, 266202032 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 66202032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92606052).

66202032 is an abundant number, since it is smaller than the sum of its proper divisors (119010072).

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

66202032 is a wasteful number, since it uses less digits than its factorization.

66202032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8198 (or 8179 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 66202032 is about 8136.4631136631. The cubic root of 66202032 is about 404.5359354621.

Adding to 66202032 its reverse (23020266), we get a palindrome (89222298).

The spelling of 66202032 in words is "sixty-six million, two hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 1014 1352 2028 2704 4056 8112 8161 16322 24483 32644 48966 65288 97932 106093 130576 195864 212186 318279 391728 424372 636558 848744 1273116 1379209 1697488 2546232 2758418 4137627 5092464 5516836 8275254 11033672 16550508 22067344 33101016 66202032