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66061952 = 271146919
BaseRepresentation
bin1111110000000…
…0011010000000
311121022021221222
43330000122000
5113402440302
610315534212
71431342305
oct374003200
9147267858
1066061952
1134321360
121a15a368
13108c0218
148ab90ac
155bedda2
hex3f00680

66061952 has 32 divisors (see below), whose sum is σ = 143575200. Its totient is φ = 30027520.

The previous prime is 66061951. The next prime is 66061967. The reversal of 66061952 is 25916066.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (66061951) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22052 + ... + 24867.

It is an arithmetic number, because the mean of its divisors is an integer number (4486725).

Almost surely, 266061952 is an apocalyptic number.

It is an amenable number.

66061952 is an abundant number, since it is smaller than the sum of its proper divisors (77513248).

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

66061952 is a wasteful number, since it uses less digits than its factorization.

66061952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46944 (or 46932 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 66061952 is about 8127.8503923239. The cubic root of 66061952 is about 404.2504084293.

It can be divided in two parts, 6606 and 1952, that added together give a palindrome (8558).

The spelling of 66061952 in words is "sixty-six million, sixty-one thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 46919 93838 187676 375352 516109 750704 1032218 1501408 2064436 3002816 4128872 6005632 8257744 16515488 33030976 66061952