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896064 = 26313359
BaseRepresentation
bin11011010110001000000
31200112011120
43122301000
5212133224
631112240
710421301
oct3326100
91615146
10896064
11562254
12372680
13254b20
141947a8
1512a779
hexdac40

896064 has 56 divisors (see below), whose sum is σ = 2560320. Its totient is φ = 274944.

The previous prime is 896047. The next prime is 896069. The reversal of 896064 is 460698.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 896064.

It is not an unprimeable number, because it can be changed into a prime (896069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2317 + ... + 2675.

It is an arithmetic number, because the mean of its divisors is an integer number (45720).

2896064 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 896064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280160).

896064 is an abundant number, since it is smaller than the sum of its proper divisors (1664256).

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

896064 is a wasteful number, since it uses less digits than its factorization.

896064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 896064 is about 946.6065708625. The cubic root of 896064 is about 96.4079858859.

The spelling of 896064 in words is "eight hundred ninety-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 359 416 624 718 832 1077 1248 1436 2154 2496 2872 4308 4667 5744 8616 9334 11488 14001 17232 18668 22976 28002 34464 37336 56004 68928 74672 112008 149344 224016 298688 448032 896064