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5670648 = 23352917
BaseRepresentation
bin10101101000011011111000
3101200002200000
4111220123320
52422430043
6321313000
766125334
oct25503370
911602600
105670648
113223495
121a95760
131237119
14a787c4
157702d3
hex5686f8

5670648 has 48 divisors (see below), whose sum is σ = 15932280. Its totient is φ = 1889568.

The previous prime is 5670641. The next prime is 5670649. The reversal of 5670648 is 8460765.

It is a happy number.

5670648 is a `hidden beast` number, since 5 + 6 + 7 + 0 + 648 = 666.

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 (5670641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 486 + ... + 3402.

Almost surely, 25670648 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 5670648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7966140).

5670648 is an abundant number, since it is smaller than the sum of its proper divisors (10261632).

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

5670648 is a wasteful number, since it uses less digits than its factorization.

5670648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2938 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5670648 is about 2381.3122432810. The cubic root of 5670648 is about 178.3244513778.

The spelling of 5670648 in words is "five million, six hundred seventy thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 2917 5834 8751 11668 17502 23336 26253 35004 52506 70008 78759 105012 157518 210024 236277 315036 472554 630072 708831 945108 1417662 1890216 2835324 5670648