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66444700 = 22527234127
BaseRepresentation
bin1111110101110…
…1110110011100
311122000201222211
43331131312130
5114002212300
610332050204
71434525220
oct375356634
9148021884
1066444700
1134562983
121a303964
13109c54ba
148b78780
155c774ba
hex3f5dd9c

66444700 has 72 divisors (see below), whose sum is σ = 171988992. Its totient is φ = 21785280.

The previous prime is 66444671. The next prime is 66444731. The reversal of 66444700 is 744466.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14037 + ... + 18163.

It is an arithmetic number, because the mean of its divisors is an integer number (2388736).

Almost surely, 266444700 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 66444700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85994496).

66444700 is an abundant number, since it is smaller than the sum of its proper divisors (105544292).

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

66444700 is a wasteful number, since it uses less digits than its factorization.

66444700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4171 (or 4164 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 66444700 is about 8151.3618494090. The cubic root of 66444700 is about 405.0296173026.

The spelling of 66444700 in words is "sixty-six million, four hundred forty-four thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 140 161 175 230 322 350 460 575 644 700 805 1150 1610 2300 3220 4025 4127 8050 8254 16100 16508 20635 28889 41270 57778 82540 94921 103175 115556 144445 189842 206350 288890 379684 412700 474605 577780 664447 722225 949210 1328894 1444450 1898420 2373025 2657788 2888900 3322235 4746050 6644470 9492100 13288940 16611175 33222350 66444700