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64668480 = 2635314153
BaseRepresentation
bin1111011010110…
…0001101000000
311111200111110220
43312230031000
5113023342410
610230023040
71413446562
oct366541500
9144614426
1064668480
113355a428
12197a7a80
1310522b96
148835332
155a26070
hex3dac340

64668480 has 224 divisors, whose sum is σ = 221211648. Its totient is φ = 15974400.

The previous prime is 64668469. The next prime is 64668481. The reversal of 64668480 is 8486646.

It is a super-3 number, since 3×646684803 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64668481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1220134 + ... + 1220186.

It is an arithmetic number, because the mean of its divisors is an integer number (987552).

Almost surely, 264668480 is an apocalyptic number.

64668480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110605824).

64668480 is an abundant number, since it is smaller than the sum of its proper divisors (156543168).

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

64668480 is a wasteful number, since it uses less digits than its factorization.

64668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 64668480 is about 8041.6714680469. The cubic root of 64668480 is about 401.3878458076.

The spelling of 64668480 in words is "sixty-four million, six hundred sixty-eight thousand, four hundred eighty".