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896633472 = 27372314503
BaseRepresentation
bin110101011100011…
…000101010000000
32022111011200220010
4311130120222000
53314014232342
6224545544520
731135154520
oct6534305200
92274150803
10896633472
11420142aa9
12210345140
131139b8267
1487121680
1553ab429c
hex35718a80

896633472 has 128 divisors (see below), whose sum is σ = 2840463360. Its totient is φ = 245025792.

The previous prime is 896633471. The next prime is 896633473. The reversal of 896633472 is 274336698.

It is an interprime number because it is at equal distance from previous prime (896633471) and next prime (896633473).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×8966334722 = 1607903166221549568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (896633471) 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, 54573 + ... + 69075.

It is an arithmetic number, because the mean of its divisors is an integer number (22191120).

Almost surely, 2896633472 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 896633472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420231680).

896633472 is an abundant number, since it is smaller than the sum of its proper divisors (1943829888).

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

896633472 is a wasteful number, since it uses less digits than its factorization.

896633472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14550 (or 14538 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 48.

The square root of 896633472 is about 29943.8386316785. The cubic root of 896633472 is about 964.2840482260.

The spelling of 896633472 in words is "eight hundred ninety-six million, six hundred thirty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 276 322 336 368 384 448 483 552 644 672 736 896 966 1104 1288 1344 1472 1932 2208 2576 2688 2944 3864 4416 5152 7728 8832 10304 14503 15456 20608 29006 30912 43509 58012 61824 87018 101521 116024 174036 203042 232048 304563 333569 348072 406084 464096 609126 667138 696144 812168 928192 1000707 1218252 1334276 1392288 1624336 1856384 2001414 2334983 2436504 2668552 2784576 3248672 4002828 4669966 4873008 5337104 5569152 6497344 7004949 8005656 9339932 9746016 10674208 12994688 14009898 16011312 18679864 19492032 21348416 28019796 32022624 37359728 38984064 42696832 56039592 64045248 74719456 112079184 128090496 149438912 224158368 298877824 448316736 896633472