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66050952 = 23311793167
BaseRepresentation
bin1111101111110…
…1101110001000
311121021201212120
43323331232020
5113402112302
610315411240
71431265242
oct373755610
9147251776
1066050952
1134314070
121a153b20
13108b8206
148ab5092
155bea9bc
hex3efdb88

66050952 has 64 divisors (see below), whose sum is σ = 182476800. Its totient is φ = 19755840.

The previous prime is 66050947. The next prime is 66050953. The reversal of 66050952 is 25905066.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (66050953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19273 + ... + 22439.

It is an arithmetic number, because the mean of its divisors is an integer number (2851200).

Almost surely, 266050952 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 66050952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91238400).

66050952 is an abundant number, since it is smaller than the sum of its proper divisors (116425848).

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

66050952 is a wasteful number, since it uses less digits than its factorization.

66050952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3266 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 66050952 is about 8127.1736784690. The cubic root of 66050952 is about 404.2279698890.

The spelling of 66050952 in words is "sixty-six million, fifty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 79 88 132 158 237 264 316 474 632 869 948 1738 1896 2607 3167 3476 5214 6334 6952 9501 10428 12668 19002 20856 25336 34837 38004 69674 76008 104511 139348 209022 250193 278696 418044 500386 750579 836088 1000772 1501158 2001544 2752123 3002316 5504246 6004632 8256369 11008492 16512738 22016984 33025476 66050952