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881144 = 2311171931
BaseRepresentation
bin11010111000111111000
31122202200222
43113013320
5211144034
630515212
710326635
oct3270770
91582628
10881144
11552020
12365b08
1324b0b4
1418d18c
1512612e
hexd71f8

881144 has 64 divisors (see below), whose sum is σ = 2073600. Its totient is φ = 345600.

The previous prime is 881143. The next prime is 881147. The reversal of 881144 is 441188.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 881144.

It is not an unprimeable number, because it can be changed into a prime (881141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28409 + ... + 28439.

It is an arithmetic number, because the mean of its divisors is an integer number (32400).

2881144 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 881144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036800).

881144 is an abundant number, since it is smaller than the sum of its proper divisors (1192456).

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

881144 is a wasteful number, since it uses less digits than its factorization.

881144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 80 counting only the distinct ones).

The product of its digits is 1024, while the sum is 26.

The square root of 881144 is about 938.6927079721. The cubic root of 881144 is about 95.8699047986.

The spelling of 881144 in words is "eight hundred eighty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 17 19 22 31 34 38 44 62 68 76 88 124 136 152 187 209 248 323 341 374 418 527 589 646 682 748 836 1054 1178 1292 1364 1496 1672 2108 2356 2584 2728 3553 4216 4712 5797 6479 7106 10013 11594 12958 14212 20026 23188 25916 28424 40052 46376 51832 80104 110143 220286 440572 881144