Search a number
-
+
2478852 = 2232371861
BaseRepresentation
bin1001011101001100000100
311122221100100
421131030010
51113310402
6125044100
730032655
oct11351404
94587310
102478852
111443442
129b6630
1368a39c
1448752c
1533e71c
hex25d304

2478852 has 36 divisors (see below), whose sum is σ = 6438796. Its totient is φ = 803520.

The previous prime is 2478809. The next prime is 2478877. The reversal of 2478852 is 2588742.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 876096 + 1602756 = 936^2 + 1266^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×24788522 = 12289414475808, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 218 + 45 + 73 + 8 + 82 + 59 + 218 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 402 + ... + 2262.

22478852 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 2478852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219398).

2478852 is an abundant number, since it is smaller than the sum of its proper divisors (3959944).

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

2478852 is a wasteful number, since it uses less digits than its factorization.

2478852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1903 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 2478852 is about 1574.4370422472. The cubic root of 2478852 is about 135.3370999353.

The spelling of 2478852 in words is "two million, four hundred seventy-eight thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1861 3722 5583 7444 11166 16749 22332 33498 66996 68857 137714 206571 275428 413142 619713 826284 1239426 2478852