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896432544 = 253272319333
BaseRepresentation
bin110101011011100…
…111100110100000
32022110210111021100
4311123213212200
53313441320134
6224541354400
731133356650
oct6533474640
92273714240
10896432544
11420016047
12210268a00
13113947977
14870ac360
1553a74999
hex356e79a0

896432544 has 144 divisors (see below), whose sum is σ = 3040232832. Its totient is φ = 244975104.

The previous prime is 896432531. The next prime is 896432561. The reversal of 896432544 is 445234698.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 896432544.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36702 + ... + 56034.

It is an arithmetic number, because the mean of its divisors is an integer number (21112728).

Almost surely, 2896432544 is an apocalyptic number.

896432544 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 896432544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520116416).

896432544 is an abundant number, since it is smaller than the sum of its proper divisors (2143800288).

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

896432544 is a wasteful number, since it uses less digits than its factorization.

896432544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19379 (or 19368 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 896432544 is about 29940.4833628317. The cubic root of 896432544 is about 964.2120135371.

The spelling of 896432544 in words is "eight hundred ninety-six million, four hundred thirty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 69 72 84 92 96 112 126 138 144 161 168 184 207 224 252 276 288 322 336 368 414 483 504 552 644 672 736 828 966 1008 1104 1288 1449 1656 1932 2016 2208 2576 2898 3312 3864 5152 5796 6624 7728 11592 15456 19333 23184 38666 46368 57999 77332 115998 135331 154664 173997 231996 270662 309328 347994 405993 444659 463992 541324 618656 695988 811986 889318 927984 1082648 1217979 1333977 1391976 1623972 1778636 1855968 2165296 2435958 2667954 2783952 3112613 3247944 3557272 4001931 4330592 4871916 5335908 5567904 6225226 6495888 7114544 8003862 9337839 9743832 10671816 12450452 12991776 14229088 16007724 18675678 19487664 21343632 24900904 28013517 32015448 37351356 38975328 42687264 49801808 56027034 64030896 74702712 99603616 112054068 128061792 149405424 224108136 298810848 448216272 896432544