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896148 = 2232113173
BaseRepresentation
bin11011010110010010100
31200112021200
43122302110
5212134043
631112500
710421451
oct3326224
91615250
10896148
11562320
12372730
13254b86
14194828
1512a7d3
hexdac94

896148 has 72 divisors (see below), whose sum is σ = 2585856. Its totient is φ = 259200.

The previous prime is 896143. The next prime is 896167. The reversal of 896148 is 841698.

It is a happy number.

896148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 896148.

It is not an unprimeable number, because it can be changed into a prime (896143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12240 + ... + 12312.

2896148 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 896148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292928).

896148 is an abundant number, since it is smaller than the sum of its proper divisors (1689708).

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

896148 is a wasteful number, since it uses less digits than its factorization.

896148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 120 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 896148 is about 946.6509388365. The cubic root of 896148 is about 96.4109983262.

It can be divided in two parts, 8961 and 48, that multiplied together give a triangular number (430128 = T927).

The spelling of 896148 in words is "eight hundred ninety-six thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 73 93 99 124 132 146 186 198 219 279 292 341 372 396 438 558 657 682 803 876 1023 1116 1314 1364 1606 2046 2263 2409 2628 3069 3212 4092 4526 4818 6138 6789 7227 9052 9636 12276 13578 14454 20367 24893 27156 28908 40734 49786 74679 81468 99572 149358 224037 298716 448074 896148