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1008852 = 2231329223
BaseRepresentation
bin11110110010011010100
31220020212220
43312103110
5224240402
633342340
711401155
oct3662324
91806786
101008852
11629a69
124079b0
13294270
141c392c
1514ddbc
hexf64d4

1008852 has 48 divisors (see below), whose sum is σ = 2634240. Its totient is φ = 298368.

The previous prime is 1008851. The next prime is 1008853. The reversal of 1008852 is 2588001.

It is an interprime number because it is at equal distance from previous prime (1008851) and next prime (1008853).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4413 + ... + 4635.

It is an arithmetic number, because the mean of its divisors is an integer number (54880).

21008852 is an apocalyptic number.

1008852 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 1008852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317120).

1008852 is an abundant number, since it is smaller than the sum of its proper divisors (1625388).

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

1008852 is a wasteful number, since it uses less digits than its factorization.

1008852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 1008852 is about 1004.4162483751. The cubic root of 1008852 is about 100.2942002798.

The spelling of 1008852 in words is "one million, eight thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 223 348 377 446 669 754 892 1131 1338 1508 2262 2676 2899 4524 5798 6467 8697 11596 12934 17394 19401 25868 34788 38802 77604 84071 168142 252213 336284 504426 1008852