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5066064 = 24351303
BaseRepresentation
bin10011010100110101010000
3100112101100000
4103110311100
52244103224
6300330000
761026603
oct23246520
910471300
105066064
112950233
121843900
131084b93
1495c33a
156a10c9
hex4d4d50

5066064 has 60 divisors (see below), whose sum is σ = 14714336. Its totient is φ = 1687392.

The previous prime is 5066041. The next prime is 5066069. The reversal of 5066064 is 4606605.

5066064 is a `hidden beast` number, since 50 + 6 + 606 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5066069) 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, 3237 + ... + 4539.

Almost surely, 25066064 is an apocalyptic number.

5066064 is a gapful number since it is divisible by the number (54) 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 5066064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7357168).

5066064 is an abundant number, since it is smaller than the sum of its proper divisors (9648272).

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

5066064 is a wasteful number, since it uses less digits than its factorization.

5066064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5066064 is about 2250.7918606570. The cubic root of 5066064 is about 171.7474208724.

The spelling of 5066064 in words is "five million, sixty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1303 1944 2606 3888 3909 5212 7818 10424 11727 15636 20848 23454 31272 35181 46908 62544 70362 93816 105543 140724 187632 211086 281448 316629 422172 562896 633258 844344 1266516 1688688 2533032 5066064