Search a number
-
+
10409552 = 24312677
BaseRepresentation
bin100111101101…
…011001010000
3201120212012222
4213231121100
510131101202
61011040212
7154323356
oct47553120
921525188
1010409552
11596a93a
1235a0068
1322060ca
14154d7d6
15da94a2
hex9ed650

10409552 has 30 divisors (see below), whose sum is σ = 20870874. Its totient is φ = 5029440.

The previous prime is 10409551. The next prime is 10409561. The reversal of 10409552 is 25590401.

10409552 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 only one way, i.e., 10394176 + 15376 = 3224^2 + 124^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10409551) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15038 + ... + 15714.

Almost surely, 210409552 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 10409552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10435437).

10409552 is an abundant number, since it is smaller than the sum of its proper divisors (10461322).

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

10409552 is an equidigital number, since it uses as much as digits as its factorization.

10409552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 10409552 is about 3226.3837341519. The cubic root of 10409552 is about 218.3453829891.

Adding to 10409552 its reverse (25590401), we get a palindrome (35999953).

The spelling of 10409552 in words is "ten million, four hundred nine thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 31 62 124 248 496 677 961 1354 1922 2708 3844 5416 7688 10832 15376 20987 41974 83948 167896 335792 650597 1301194 2602388 5204776 10409552