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66133848 = 23311397631
BaseRepresentation
bin1111110001000…
…1111101011000
311121102221120210
43330101331120
5113412240343
610321251120
71432062024
oct374217530
9147387523
1066133848
1134370380
121a193aa0
1310916b71
148ad7384
155c15333
hex3f11f58

66133848 has 64 divisors (see below), whose sum is σ = 181105920. Its totient is φ = 19958400.

The previous prime is 66133843. The next prime is 66133883. The reversal of 66133848 is 84833166.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66133843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104493 + ... + 105123.

It is an arithmetic number, because the mean of its divisors is an integer number (2829780).

Almost surely, 266133848 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 66133848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90552960).

66133848 is an abundant number, since it is smaller than the sum of its proper divisors (114972072).

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

66133848 is a wasteful number, since it uses less digits than its factorization.

66133848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1044 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 66133848 is about 8132.2720072560. The cubic root of 66133848 is about 404.3970054204.

The spelling of 66133848 in words is "sixty-six million, one hundred thirty-three thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 397 631 794 1191 1262 1588 1893 2382 2524 3176 3786 4367 4764 5048 6941 7572 8734 9528 13101 13882 15144 17468 20823 26202 27764 34936 41646 52404 55528 83292 104808 166584 250507 501014 751521 1002028 1503042 2004056 2755577 3006084 5511154 6012168 8266731 11022308 16533462 22044616 33066924 66133848