Search a number
-
+
1052772 = 223783151
BaseRepresentation
bin100000001000001100100
31222111010120
410001001210
5232142042
634321540
711643210
oct4010144
91874116
101052772
11659a66
124292b0
132ab256
141d5940
1515bdec
hex101064

1052772 has 48 divisors (see below), whose sum is σ = 2860032. Its totient is φ = 295200.

The previous prime is 1052767. The next prime is 1052797. The reversal of 1052772 is 2772501.

It is a super-2 number, since 2×10527722 = 2216657767968, 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 (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6897 + ... + 7047.

It is an arithmetic number, because the mean of its divisors is an integer number (59584).

21052772 is an apocalyptic number.

1052772 is a gapful number since it is divisible by the number (12) 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 1052772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430016).

1052772 is an abundant number, since it is smaller than the sum of its proper divisors (1807260).

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

1052772 is a wasteful number, since it uses less digits than its factorization.

1052772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 1052772 is about 1026.0467825592. The cubic root of 1052772 is about 101.7289999664.

The spelling of 1052772 in words is "one million, fifty-two thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 83 84 151 166 249 302 332 453 498 581 604 906 996 1057 1162 1743 1812 2114 2324 3171 3486 4228 6342 6972 12533 12684 25066 37599 50132 75198 87731 150396 175462 263193 350924 526386 1052772