Search a number
-
+
5693664 = 253127467
BaseRepresentation
bin10101101110000011100000
3101201021020110
4111232003200
52424144124
6322011320
766252414
oct25560340
911637213
105693664
113239809
121aa6b40
131244742
14a82d44
15777029
hex56e0e0

5693664 has 48 divisors (see below), whose sum is σ = 15095808. Its totient is φ = 1878912.

The previous prime is 5693663. The next prime is 5693669. The reversal of 5693664 is 4663965.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5693663) 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, 11959 + ... + 12425.

It is an arithmetic number, because the mean of its divisors is an integer number (314496).

Almost surely, 25693664 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 5693664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7547904).

5693664 is an abundant number, since it is smaller than the sum of its proper divisors (9402144).

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

5693664 is a wasteful number, since it uses less digits than its factorization.

5693664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 599 counting only the distinct ones).

The product of its digits is 116640, while the sum is 39.

The square root of 5693664 is about 2386.1399791295. The cubic root of 5693664 is about 178.5653865232.

Subtracting from 5693664 its sum of digits (39), we obtain a triangular number (5693625 = T3374).

The spelling of 5693664 in words is "five million, six hundred ninety-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 467 508 762 934 1016 1401 1524 1868 2032 2802 3048 3736 4064 5604 6096 7472 11208 12192 14944 22416 44832 59309 118618 177927 237236 355854 474472 711708 948944 1423416 1897888 2846832 5693664