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1052928 = 2832457
BaseRepresentation
bin100000001000100000000
31222111100100
410001010000
5232143203
634322400
711643522
oct4010400
91874310
101052928
1165a098
12429400
132ab346
141d5a12
1515bea3
hex101100

1052928 has 54 divisors (see below), whose sum is σ = 3042494. Its totient is φ = 350208.

The previous prime is 1052899. The next prime is 1052939. The reversal of 1052928 is 8292501.

It can be written as a sum of positive squares in only one way, i.e., 1016064 + 36864 = 1008^2 + 192^2 .

It is a super-2 number, since 2×10529282 = 2217314746368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2076 + ... + 2532.

21052928 is an apocalyptic number.

1052928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521247).

1052928 is an abundant number, since it is smaller than the sum of its proper divisors (1989566).

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

1052928 is an equidigital number, since it uses as much as digits as its factorization.

1052928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1052928 is about 1026.1227996687. The cubic root of 1052928 is about 101.7340244605.

The spelling of 1052928 in words is "one million, fifty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 457 576 768 914 1152 1371 1828 2304 2742 3656 4113 5484 7312 8226 10968 14624 16452 21936 29248 32904 43872 58496 65808 87744 116992 131616 175488 263232 350976 526464 1052928