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66983232 = 2631791949
BaseRepresentation
bin1111111110000…
…1010101000000
311200001002201110
43333201111000
5114121430412
610351403320
71442230251
oct377412500
9150032643
1066983232
11348a0548
121a523540
1310b53664
148c78b28
155d31d3c
hex3fe1540

66983232 has 56 divisors (see below), whose sum is σ = 178308000. Its totient is φ = 22191616.

The previous prime is 66983197. The next prime is 66983233. The reversal of 66983232 is 23238966.

66983232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66983233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33394 + ... + 35342.

Almost surely, 266983232 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 66983232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89154000).

66983232 is an abundant number, since it is smaller than the sum of its proper divisors (111324768).

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

66983232 is a wasteful number, since it uses less digits than its factorization.

66983232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143 (or 2133 counting only the distinct ones).

The product of its digits is 93312, while the sum is 39.

The square root of 66983232 is about 8184.3284391574. The cubic root of 66983232 is about 406.1209246113.

The spelling of 66983232 in words is "sixty-six million, nine hundred eighty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 179 192 358 537 716 1074 1432 1949 2148 2864 3898 4296 5728 5847 7796 8592 11456 11694 15592 17184 23388 31184 34368 46776 62368 93552 124736 187104 348871 374208 697742 1046613 1395484 2093226 2790968 4186452 5581936 8372904 11163872 16745808 22327744 33491616 66983232