Search a number
-
+
10438456 = 237533517
BaseRepresentation
bin100111110100…
…011100111000
3201122022212111
4213310130320
510133012311
61011422104
7154503550
oct47643470
921568774
1010438456
11598a626
1235b4934
132216302
14155a160
15db2d21
hex9f4738

10438456 has 32 divisors (see below), whose sum is σ = 22796640. Its totient is φ = 4387968.

The previous prime is 10438453. The next prime is 10438469. The reversal of 10438456 is 65483401.

It is a happy number.

It is a super-2 number, since 2×104384562 = 217922727327872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10438453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1210 + ... + 4726.

It is an arithmetic number, because the mean of its divisors is an integer number (712395).

Almost surely, 210438456 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 10438456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11398320).

10438456 is an abundant number, since it is smaller than the sum of its proper divisors (12358184).

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

10438456 is a wasteful number, since it uses less digits than its factorization.

10438456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3583 (or 3579 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 10438456 is about 3230.8599474443. The cubic root of 10438456 is about 218.5472880177.

The spelling of 10438456 in words is "ten million, four hundred thirty-eight thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 53 56 106 212 371 424 742 1484 2968 3517 7034 14068 24619 28136 49238 98476 186401 196952 372802 745604 1304807 1491208 2609614 5219228 10438456