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66949288 = 2372233733
BaseRepresentation
bin1111111101100…
…1000010101000
311122222101011021
43333121002220
5114114334123
610350542224
71442026300
oct377310250
9148871137
1066949288
1134877a9a
121a507974
1310b41083
148c6a600
155d26c5d
hex3fd90a8

66949288 has 48 divisors (see below), whose sum is σ = 146851380. Its totient is φ = 28530432.

The previous prime is 66949277. The next prime is 66949301. The reversal of 66949288 is 88294966.

It can be written as a sum of positive squares in 2 ways, for example, as 65254084 + 1695204 = 8078^2 + 1302^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90970 + ... + 91702.

Almost surely, 266949288 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 66949288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73425690).

66949288 is an abundant number, since it is smaller than the sum of its proper divisors (79902092).

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

66949288 is a wasteful number, since it uses less digits than its factorization.

66949288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 975 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 52.

The square root of 66949288 is about 8182.2544570552. The cubic root of 66949288 is about 406.0523119277.

The spelling of 66949288 in words is "sixty-six million, nine hundred forty-nine thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 233 392 466 733 932 1466 1631 1864 2932 3262 5131 5864 6524 10262 11417 13048 20524 22834 35917 41048 45668 71834 91336 143668 170789 287336 341578 683156 1195523 1366312 2391046 4782092 8368661 9564184 16737322 33474644 66949288