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10449828 = 22322811033
BaseRepresentation
bin100111110111…
…001110100100
3201122220110200
4213313032210
510133343303
61011550500
7154551654
oct47671644
921586420
1010449828
115998124
1235bb430
13221b53c
141560364
15db63a3
hex9f73a4

10449828 has 36 divisors (see below), whose sum is σ = 26534508. Its totient is φ = 3467520.

The previous prime is 10449827. The next prime is 10449833. The reversal of 10449828 is 82894401.

It can be written as a sum of positive squares in 2 ways, for example, as 8892324 + 1557504 = 2982^2 + 1248^2 .

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

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

It is a junction number, because it is equal to n+sod(n) for n = 10449792 and 10449801.

It is not an unprimeable number, because it can be changed into a prime (10449823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9600 + ... + 10632.

Almost surely, 210449828 is an apocalyptic number.

10449828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10449828 is an abundant number, since it is smaller than the sum of its proper divisors (16084680).

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

10449828 is a wasteful number, since it uses less digits than its factorization.

10449828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 10449828 is about 3232.6193713458. The cubic root of 10449828 is about 218.6266234346.

The spelling of 10449828 in words is "ten million, four hundred forty-nine thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 281 562 843 1033 1124 1686 2066 2529 3099 3372 4132 5058 6198 9297 10116 12396 18594 37188 290273 580546 870819 1161092 1741638 2612457 3483276 5224914 10449828