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5685632 = 27431033
BaseRepresentation
bin10101101100000110000000
3101200212012222
4111230012000
52423420012
6321510212
766220121
oct25540600
911625188
105685632
113233777
121aa2368
131240ba4
14a80048
15774972
hex56c180

5685632 has 32 divisors (see below), whose sum is σ = 11601480. Its totient is φ = 2774016.

The previous prime is 5685619. The next prime is 5685643. The reversal of 5685632 is 2365865.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×56856322 = 64652822478848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5685592 and 5685601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4988 + ... + 6020.

Almost surely, 25685632 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 5685632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5800740).

5685632 is an abundant number, since it is smaller than the sum of its proper divisors (5915848).

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

5685632 is a wasteful number, since it uses less digits than its factorization.

5685632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1078 counting only the distinct ones).

The product of its digits is 43200, while the sum is 35.

The square root of 5685632 is about 2384.4563321646. The cubic root of 5685632 is about 178.4813801531.

The spelling of 5685632 in words is "five million, six hundred eighty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 344 688 1033 1376 2066 2752 4132 5504 8264 16528 33056 44419 66112 88838 132224 177676 355352 710704 1421408 2842816 5685632