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896318784 = 2634374673
BaseRepresentation
bin110101011011001…
…011110101000000
32022110120201020000
4311123023311000
53313424200114
6224535120000
731132404204
oct6533136500
92273521200
10896318784
1141aa48629
12210213000
13113907c5a
148707cb04
1553a50e09
hex356cbd40

896318784 has 140 divisors (see below), whose sum is σ = 2729363604. Its totient is φ = 290635776.

The previous prime is 896318783. The next prime is 896318791. The reversal of 896318784 is 487813698.

896318784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 833592384 + 62726400 = 28872^2 + 7920^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 896318784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (896318783) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 189472 + ... + 194144.

Almost surely, 2896318784 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 896318784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364681802).

896318784 is an abundant number, since it is smaller than the sum of its proper divisors (1833044820).

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

896318784 is a wasteful number, since it uses less digits than its factorization.

896318784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4734 (or 4715 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 896318784 is about 29938.5835336276. The cubic root of 896318784 is about 964.1712246717.

The spelling of 896318784 in words is "eight hundred ninety-six million, three hundred eighteen thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 81 96 108 111 144 148 162 192 216 222 288 296 324 333 432 444 576 592 648 666 864 888 999 1184 1296 1332 1728 1776 1998 2368 2592 2664 2997 3552 3996 4673 5184 5328 5994 7104 7992 9346 10656 11988 14019 15984 18692 21312 23976 28038 31968 37384 42057 47952 56076 63936 74768 84114 95904 112152 126171 149536 168228 172901 191808 224304 252342 299072 336456 345802 378513 448608 504684 518703 672912 691604 757026 897216 1009368 1037406 1345824 1383208 1514052 1556109 2018736 2074812 2691648 2766416 3028104 3112218 4037472 4149624 4668327 5532832 6056208 6224436 8074944 8299248 9336654 11065664 12112416 12448872 14004981 16598496 18673308 24224832 24897744 28009962 33196992 37346616 49795488 56019924 74693232 99590976 112039848 149386464 224079696 298772928 448159392 896318784