[go: up one dir, main page]

Search a number
-
+
5708952 = 2332372143
BaseRepresentation
bin10101110001110010011000
3101202001012200
4111301302120
52430141302
6322210200
766345114
oct25616230
911661180
105708952
11324a247
121ab3960
13124b6a2
14a88744
1577b81c
hex571c98

5708952 has 48 divisors (see below), whose sum is σ = 15887040. Its totient is φ = 1850688.

The previous prime is 5708939. The next prime is 5708953. The reversal of 5708952 is 2598075.

5708952 is a `hidden beast` number, since 570 + 89 + 5 + 2 = 666.

5708952 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5708953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1593 + ... + 3735.

It is an arithmetic number, because the mean of its divisors is an integer number (330980).

Almost surely, 25708952 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 5708952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7943520).

5708952 is an abundant number, since it is smaller than the sum of its proper divisors (10178088).

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

5708952 is a wasteful number, since it uses less digits than its factorization.

5708952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 5708952 is about 2389.3413318319. The cubic root of 5708952 is about 178.7250650663.

The spelling of 5708952 in words is "five million, seven hundred eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2143 2664 4286 6429 8572 12858 17144 19287 25716 38574 51432 77148 79291 154296 158582 237873 317164 475746 634328 713619 951492 1427238 1902984 2854476 5708952