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66924480 = 2635723433
BaseRepresentation
bin1111111101001…
…0111111000000
311122221010010110
43333102333000
5114113040410
610350231320
71441564050
oct377227700
9148833113
1066924480
1134860397
121a4b5540
1310b329ac
148c61560
155d1e720
hex3fd2fc0

66924480 has 224 divisors, whose sum is σ = 253983744. Its totient is φ = 14598144.

The previous prime is 66924449. The next prime is 66924497. The reversal of 66924480 is 8442966.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154344 + ... + 154776.

It is an arithmetic number, because the mean of its divisors is an integer number (1133856).

Almost surely, 266924480 is an apocalyptic number.

66924480 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 66924480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126991872).

66924480 is an abundant number, since it is smaller than the sum of its proper divisors (187059264).

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

66924480 is a wasteful number, since it uses less digits than its factorization.

66924480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 66924480 is about 8180.7383529850. The cubic root of 66924480 is about 406.0021516221.

The spelling of 66924480 in words is "sixty-six million, nine hundred twenty-four thousand, four hundred eighty".