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10438912 = 28112337
BaseRepresentation
bin100111110100…
…100100000000
3201122100111101
4213310210000
510133021122
61011424144
7154505101
oct47644400
921570441
1010438912
11598aa00
1235b5054
132216593
14155a3a8
15db3027
hex9f4900

10438912 has 54 divisors (see below), whose sum is σ = 22971494. Its totient is φ = 4730880.

The previous prime is 10438891. The next prime is 10438913. The reversal of 10438912 is 21983401.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7929856 + 2509056 = 2816^2 + 1584^2 .

It is not an unprimeable number, because it can be changed into a prime (10438913) 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, 30808 + ... + 31144.

Almost surely, 210438912 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 10438912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11485747).

10438912 is an abundant number, since it is smaller than the sum of its proper divisors (12532582).

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

10438912 is an equidigital number, since it uses as much as digits as its factorization.

10438912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 10438912 is about 3230.9305161207. The cubic root of 10438912 is about 218.5504703566.

It can be divided in two parts, 104389 and 12, that added together give a palindrome (104401).

The spelling of 10438912 in words is "ten million, four hundred thirty-eight thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 337 352 484 674 704 968 1348 1408 1936 2696 2816 3707 3872 5392 7414 7744 10784 14828 15488 21568 29656 30976 40777 43136 59312 81554 86272 118624 163108 237248 326216 474496 652432 948992 1304864 2609728 5219456 10438912