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5069664 = 253229607
BaseRepresentation
bin10011010101101101100000
3100112120021100
4103111231200
52244212124
6300354400
761043235
oct23255540
910476240
105069664
112952a06
121845a00
131086702
1495d78c
156a21c9
hex4d5b60

5069664 has 72 divisors (see below), whose sum is σ = 14938560. Its totient is φ = 1628928.

The previous prime is 5069663. The next prime is 5069671. The reversal of 5069664 is 4669605.

It is a happy number.

5069664 is a `hidden beast` number, since 506 + 96 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5069663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8049 + ... + 8655.

It is an arithmetic number, because the mean of its divisors is an integer number (207480).

Almost surely, 25069664 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 5069664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7469280).

5069664 is an abundant number, since it is smaller than the sum of its proper divisors (9868896).

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

5069664 is a wasteful number, since it uses less digits than its factorization.

5069664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 5069664 is about 2251.5914371839. The cubic root of 5069664 is about 171.7880930996.

The spelling of 5069664 in words is "five million, sixty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 607 696 928 1044 1214 1392 1821 2088 2428 2784 3642 4176 4856 5463 7284 8352 9712 10926 14568 17603 19424 21852 29136 35206 43704 52809 58272 70412 87408 105618 140824 158427 174816 211236 281648 316854 422472 563296 633708 844944 1267416 1689888 2534832 5069664