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5749632 = 273272331
BaseRepresentation
bin10101111011101110000000
3101211010000100
4111323232000
52432442012
6323122400
766604530
oct25735600
911733010
105749632
113277869
121b13400
131264065
14a994c0
157888dc
hex57bb80

5749632 has 192 divisors, whose sum is σ = 20367360. Its totient is φ = 1520640.

The previous prime is 5749631. The next prime is 5749633. The reversal of 5749632 is 2369475.

5749632 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5749631) and next prime (5749633).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a d-powerful number, because it can be written as 59 + 75 + 42 + 93 + 68 + 37 + 221 .

Its product of digits (45360) is a multiple of the sum of its prime factors (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5749631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185457 + ... + 185487.

It is an arithmetic number, because the mean of its divisors is an integer number (106080).

Almost surely, 25749632 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 5749632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10183680).

5749632 is an abundant number, since it is smaller than the sum of its proper divisors (14617728).

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

5749632 is a wasteful number, since it uses less digits than its factorization.

5749632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 66 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 5749632 is about 2397.8390271242. The cubic root of 5749632 is about 179.1485715515.

The spelling of 5749632 in words is "five million, seven hundred forty-nine thousand, six hundred thirty-two".