Search a number
-
+
3542500 = 225413109
BaseRepresentation
bin1101100000110111100100
320122222101201
431200313210
51401330000
6203532244
742052663
oct15406744
96588351
103542500
111aaa595
12122a084
13970570
14682dda
1549e96a
hex360de4

3542500 has 60 divisors (see below), whose sum is σ = 8419180. Its totient is φ = 1296000.

The previous prime is 3542489. The next prime is 3542503. The reversal of 3542500 is 52453.

It is a happy number.

3542500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 2985984 + 556516 = 1728^2 + 746^2 .

It is a super-3 number, since 3×35425003 (a number of 21 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3542503) 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 19 ways as a sum of consecutive naturals, for example, 32446 + ... + 32554.

Almost surely, 23542500 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 3542500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4209590).

3542500 is an abundant number, since it is smaller than the sum of its proper divisors (4876680).

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

3542500 is a wasteful number, since it uses less digits than its factorization.

3542500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 3542500 is about 1882.1530224719. The cubic root of 3542500 is about 152.4415255525.

Adding to 3542500 its reverse (52453), we get a palindrome (3594953).

The spelling of 3542500 in words is "three million, five hundred forty-two thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 109 125 130 218 250 260 325 436 500 545 625 650 1090 1250 1300 1417 1625 2180 2500 2725 2834 3250 5450 5668 6500 7085 8125 10900 13625 14170 16250 27250 28340 32500 35425 54500 68125 70850 136250 141700 177125 272500 354250 708500 885625 1771250 3542500