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897264 = 24333167
BaseRepresentation
bin11011011000011110000
31200120211000
43123003300
5212203024
631122000
710424634
oct3330360
91616730
10897264
11563145
12373300
13255534
14194dc4
1512acc9
hexdb0f0

897264 has 80 divisors (see below), whose sum is σ = 2698240. Its totient is φ = 285120.

The previous prime is 897263. The next prime is 897269. The reversal of 897264 is 462798.

897264 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 not an unprimeable number, because it can be changed into a prime (897263) 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, 13359 + ... + 13425.

It is an arithmetic number, because the mean of its divisors is an integer number (33728).

2897264 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 897264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349120).

897264 is an abundant number, since it is smaller than the sum of its proper divisors (1800976).

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

897264 is a wasteful number, since it uses less digits than its factorization.

897264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 103 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 897264 is about 947.2402018496. The cubic root of 897264 is about 96.4510028944.

The spelling of 897264 in words is "eight hundred ninety-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 67 72 93 108 124 134 144 186 201 216 248 268 279 372 402 432 496 536 558 603 744 804 837 1072 1116 1206 1488 1608 1674 1809 2077 2232 2412 3216 3348 3618 4154 4464 4824 6231 6696 7236 8308 9648 12462 13392 14472 16616 18693 24924 28944 33232 37386 49848 56079 74772 99696 112158 149544 224316 299088 448632 897264