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5307632 = 241153569
BaseRepresentation
bin10100001111110011110000
3100222122200222
4110033303300
52324321012
6305432212
763054101
oct24176360
910878628
105307632
112aa5780
12193b668
13113ab15
149c23a8
156ec972
hex50fcf0

5307632 has 40 divisors (see below), whose sum is σ = 11450160. Its totient is φ = 2362880.

The previous prime is 5307607. The next prime is 5307637. The reversal of 5307632 is 2367035.

It is a d-powerful number, because it can be written as 53 + 33 + 0 + 7 + 63 + 314 + 219 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5307637) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9044 + ... + 9612.

It is an arithmetic number, because the mean of its divisors is an integer number (286254).

Almost surely, 25307632 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 5307632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5725080).

5307632 is an abundant number, since it is smaller than the sum of its proper divisors (6142528).

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

5307632 is a wasteful number, since it uses less digits than its factorization.

5307632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 26.

The square root of 5307632 is about 2303.8298548287. The cubic root of 5307632 is about 174.4349886313.

The spelling of 5307632 in words is "five million, three hundred seven thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 176 212 424 569 583 848 1138 1166 2276 2332 4552 4664 6259 9104 9328 12518 25036 30157 50072 60314 100144 120628 241256 331727 482512 663454 1326908 2653816 5307632