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897152 = 2743163
BaseRepresentation
bin11011011000010000000
31200120122212
43123002000
5212202102
631121252
710424414
oct3330200
91616585
10897152
11563053
12373228
13255479
14194d44
1512ac52
hexdb080

897152 has 32 divisors (see below), whose sum is σ = 1840080. Its totient is φ = 435456.

The previous prime is 897137. The next prime is 897157. The reversal of 897152 is 251798.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×8971522 = 1609763422208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (897157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5423 + ... + 5585.

2897152 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 897152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920040).

897152 is an abundant number, since it is smaller than the sum of its proper divisors (942928).

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

897152 is a wasteful number, since it uses less digits than its factorization.

897152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 208 counting only the distinct ones).

The product of its digits is 5040, while the sum is 32.

The square root of 897152 is about 947.1810808921. The cubic root of 897152 is about 96.4469895970.

The spelling of 897152 in words is "eight hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 43 64 86 128 163 172 326 344 652 688 1304 1376 2608 2752 5216 5504 7009 10432 14018 20864 28036 56072 112144 224288 448576 897152