Search a number
-
+
1049928 = 233114197
BaseRepresentation
bin100000000010101001000
31222100020020
410000111020
5232044203
634300440
711632005
oct4002510
91870206
101049928
11657910
12427720
132a9b79
141d48ac
1515b153
hex100548

1049928 has 64 divisors (see below), whose sum is σ = 2963520. Its totient is φ = 307200.

The previous prime is 1049899. The next prime is 1049941. The reversal of 1049928 is 8299401.

It is a super-2 number, since 2×10499282 = 2204697610368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10776 + ... + 10872.

It is an arithmetic number, because the mean of its divisors is an integer number (46305).

21049928 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 1049928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481760).

1049928 is an abundant number, since it is smaller than the sum of its proper divisors (1913592).

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

1049928 is a wasteful number, since it uses less digits than its factorization.

1049928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 1049928 is about 1024.6599435910. The cubic root of 1049928 is about 101.6373124367.

The spelling of 1049928 in words is "one million, forty-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 97 123 132 164 194 246 264 291 328 388 451 492 582 776 902 984 1067 1164 1353 1804 2134 2328 2706 3201 3608 3977 4268 5412 6402 7954 8536 10824 11931 12804 15908 23862 25608 31816 43747 47724 87494 95448 131241 174988 262482 349976 524964 1049928