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66660048 = 24327135087
BaseRepresentation
bin1111111001001…
…0011011010000
311122102200101200
43332102123100
5114031110143
610340431200
71436413110
oct376223320
9148380350
1066660048
113469a754
121a3a8500
1310a6c520
148bd3040
155cbb1d3
hex3f926d0

66660048 has 120 divisors (see below), whose sum is σ = 229651968. Its totient is φ = 17577216.

The previous prime is 66659993. The next prime is 66660059. The reversal of 66660048 is 84006666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 66659994 and 66660021.

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, 10561 + ... + 15647.

Almost surely, 266660048 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 66660048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114825984).

66660048 is an abundant number, since it is smaller than the sum of its proper divisors (162991920).

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

66660048 is a wasteful number, since it uses less digits than its factorization.

66660048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5121 (or 5112 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 66660048 is about 8164.5604903142. The cubic root of 66660048 is about 405.4667139049.

The spelling of 66660048 in words is "sixty-six million, six hundred sixty thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 5087 6552 10174 13104 15261 20348 30522 35609 40696 45783 61044 66131 71218 81392 91566 106827 122088 132262 142436 183132 198393 213654 244176 264524 284872 320481 366264 396786 427308 462917 529048 569744 595179 640962 732528 793572 854616 925834 1058096 1190358 1281924 1388751 1587144 1709232 1851668 2380716 2563848 2777502 3174288 3703336 4166253 4761432 5127696 5555004 7406672 8332506 9522864 11110008 16665012 22220016 33330024 66660048