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66432968 = 23719292153
BaseRepresentation
bin1111110101101…
…0111111001000
311122000010220022
43331122333020
5114001323333
610331520012
71434446060
oct375327710
9148003808
1066432968
1134555088
121a2b9008
13109c0064
148b743a0
155c73c98
hex3f5afc8

66432968 has 64 divisors (see below), whose sum is σ = 155088000. Its totient is φ = 26030592.

The previous prime is 66432959. The next prime is 66433001. The reversal of 66432968 is 86923466.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29780 + ... + 31932.

It is an arithmetic number, because the mean of its divisors is an integer number (2423250).

Almost surely, 266432968 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 66432968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77544000).

66432968 is an abundant number, since it is smaller than the sum of its proper divisors (88655032).

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

66432968 is a wasteful number, since it uses less digits than its factorization.

66432968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2210 counting only the distinct ones).

The product of its digits is 373248, while the sum is 44.

The square root of 66432968 is about 8150.6421832884. The cubic root of 66432968 is about 405.0057774921.

The spelling of 66432968 in words is "sixty-six million, four hundred thirty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 19 28 29 38 56 58 76 116 133 152 203 232 266 406 532 551 812 1064 1102 1624 2153 2204 3857 4306 4408 7714 8612 15071 15428 17224 30142 30856 40907 60284 62437 81814 120568 124874 163628 249748 286349 327256 437059 499496 572698 874118 1145396 1186303 1748236 2290792 2372606 3496472 4745212 8304121 9490424 16608242 33216484 66432968