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66438944 = 25111314519
BaseRepresentation
bin1111110101110…
…0011100100000
311122000110002122
43331130130200
5114002021234
610332003412
71434502355
oct375343440
9148013078
1066438944
1134559620
121a300568
13109c29b0
148b7662c
155c7592e
hex3f5c720

66438944 has 48 divisors (see below), whose sum is σ = 153679680. Its totient is φ = 27874560.

The previous prime is 66438937. The next prime is 66438949. The reversal of 66438944 is 44983466.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 66438895 and 66438904.

It is not an unprimeable number, because it can be changed into a prime (66438949) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2684 + ... + 11835.

It is an arithmetic number, because the mean of its divisors is an integer number (3201660).

Almost surely, 266438944 is an apocalyptic number.

It is an amenable number.

66438944 is an abundant number, since it is smaller than the sum of its proper divisors (87240736).

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

66438944 is a wasteful number, since it uses less digits than its factorization.

66438944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14553 (or 14545 counting only the distinct ones).

The product of its digits is 497664, while the sum is 44.

The square root of 66438944 is about 8151.0087719251. The cubic root of 66438944 is about 405.0179212717.

The spelling of 66438944 in words is "sixty-six million, four hundred thirty-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1144 2288 4576 14519 29038 58076 116152 159709 188747 232304 319418 377494 464608 638836 754988 1277672 1509976 2076217 2555344 3019952 4152434 5110688 6039904 8304868 16609736 33219472 66438944