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66442376 = 23711138297
BaseRepresentation
bin1111110101110…
…1010010001000
311122000121210202
43331131102020
5114002124001
610332031332
71434515360
oct375352210
9148017722
1066442376
1134561160
121a302548
13109c4420
148b779a0
155c7696b
hex3f5d488

66442376 has 64 divisors (see below), whose sum is σ = 167287680. Its totient is φ = 23892480.

The previous prime is 66442339. The next prime is 66442379. The reversal of 66442376 is 67324466.

66442376 = T1275 + T1276 + ... + T1351.

It is not an unprimeable number, because it can be changed into a prime (66442379) 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, 3860 + ... + 12156.

It is an arithmetic number, because the mean of its divisors is an integer number (2613870).

Almost surely, 266442376 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 66442376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83643840).

66442376 is an abundant number, since it is smaller than the sum of its proper divisors (100845304).

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

66442376 is a wasteful number, since it uses less digits than its factorization.

66442376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8334 (or 8330 counting only the distinct ones).

The product of its digits is 145152, while the sum is 38.

The square root of 66442376 is about 8151.2192952956. The cubic root of 66442376 is about 405.0248950810.

The spelling of 66442376 in words is "sixty-six million, four hundred forty-two thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 4004 8008 8297 16594 33188 58079 66376 91267 107861 116158 182534 215722 232316 365068 431444 464632 638869 730136 755027 862888 1186471 1277738 1510054 2372942 2555476 3020108 4745884 5110952 6040216 8305297 9491768 16610594 33221188 66442376