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5689152 = 263271783
BaseRepresentation
bin10101101100111101000000
3101201001001100
4111230331000
52424023102
6321534400
766233310
oct25547500
911631040
105689152
113236387
121aa4400
131242681
14a81440
15775a1c
hex56cf40

5689152 has 168 divisors, whose sum is σ = 19970496. Its totient is φ = 1511424.

The previous prime is 5689141. The next prime is 5689153. The reversal of 5689152 is 2519865.

It is a happy number.

5689152 is a `hidden beast` number, since 568 + 91 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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 (5689153) 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 23 ways as a sum of consecutive naturals, for example, 68503 + ... + 68585.

It is an arithmetic number, because the mean of its divisors is an integer number (118872).

Almost surely, 25689152 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 5689152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9985248).

5689152 is an abundant number, since it is smaller than the sum of its proper divisors (14281344).

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

5689152 is a wasteful number, since it uses less digits than its factorization.

5689152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 112 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 5689152 is about 2385.1943317055. The cubic root of 5689152 is about 178.5182054261.

The spelling of 5689152 in words is "five million, six hundred eighty-nine thousand, one hundred fifty-two".