Search a number
-
+
2452900 = 2252191291
BaseRepresentation
bin1001010110110110100100
311121121202011
421112312210
51111443100
6124324004
726564212
oct11266644
94547664
102452900
11142599a
129a3604
1367b628
1447bcb2
15336bba
hex256da4

2452900 has 36 divisors (see below), whose sum is σ = 5607280. Its totient is φ = 928800.

The previous prime is 2452897. The next prime is 2452903. The reversal of 2452900 is 92542.

It is a happy number.

2452900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2452897) and next prime (2452903).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2452903) 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, 1255 + ... + 2545.

22452900 is an apocalyptic number.

2452900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2452900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803640).

2452900 is an abundant number, since it is smaller than the sum of its proper divisors (3154380).

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

2452900 is a wasteful number, since it uses less digits than its factorization.

2452900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 2452900 is about 1566.1736813010. The cubic root of 2452900 is about 134.8631443462.

The spelling of 2452900 in words is "two million, four hundred fifty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1291 1900 2582 5164 6455 12910 24529 25820 32275 49058 64550 98116 122645 129100 245290 490580 613225 1226450 2452900