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66390296 = 2372257659
BaseRepresentation
bin1111110101000…
…0100100011000
311121220222100212
43331100210120
5113443442141
610330550252
71434210500
oct375204430
9147828325
1066390296
1134526015
121a298388
13109a67cb
148b62a00
155c662eb
hex3f50918

66390296 has 48 divisors (see below), whose sum is σ = 145589400. Its totient is φ = 28299264.

The previous prime is 66390283. The next prime is 66390299. The reversal of 66390296 is 69209366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66390299) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100415 + ... + 101073.

Almost surely, 266390296 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 66390296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72794700).

66390296 is an abundant number, since it is smaller than the sum of its proper divisors (79199104).

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

66390296 is a wasteful number, since it uses less digits than its factorization.

66390296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 41.

The square root of 66390296 is about 8148.0240549473. The cubic root of 66390296 is about 404.9190429048.

The spelling of 66390296 in words is "sixty-six million, three hundred ninety thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 257 392 514 659 1028 1318 1799 2056 2636 3598 4613 5272 7196 9226 12593 14392 18452 25186 32291 36904 50372 64582 100744 129164 169363 258328 338726 677452 1185541 1354904 2371082 4742164 8298787 9484328 16597574 33195148 66390296