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66483288 = 23332331321
BaseRepresentation
bin1111110110011…
…1010001011000
311122002200221000
43331213101120
5114004431123
610332545000
71435045554
oct375472130
9148080830
1066483288
1134589973
121a322160
1310a09c31
148b88864
155c83b43
hex3f67458

66483288 has 64 divisors (see below), whose sum is σ = 185608800. Its totient is φ = 22049280.

The previous prime is 66483269. The next prime is 66483293. The reversal of 66483288 is 88238466.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49668 + ... + 50988.

Almost surely, 266483288 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 66483288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92804400).

66483288 is an abundant number, since it is smaller than the sum of its proper divisors (119125512).

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

66483288 is a wasteful number, since it uses less digits than its factorization.

66483288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1559 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 66483288 is about 8153.7284723003. The cubic root of 66483288 is about 405.1080096011.

The spelling of 66483288 in words is "sixty-six million, four hundred eighty-three thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 233 466 699 932 1321 1398 1864 2097 2642 2796 3963 4194 5284 5592 6291 7926 8388 10568 11889 12582 15852 16776 23778 25164 31704 35667 47556 50328 71334 95112 142668 285336 307793 615586 923379 1231172 1846758 2462344 2770137 3693516 5540274 7387032 8310411 11080548 16620822 22161096 33241644 66483288