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96549408 = 25341932
BaseRepresentation
bin1011100000100…
…11101000100000
320201200012220000
411300103220200
5144204040113
613325220000
72251441104
oct560235040
9221605800
1096549408
114a554aaa
1228401600
1317006037
14cb73904
158722373
hex5c13a20

96549408 has 90 divisors (see below), whose sum is σ = 285427989. Its totient is φ = 32016384.

The previous prime is 96549403. The next prime is 96549449. The reversal of 96549408 is 80494569.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 89643024 + 6906384 = 9468^2 + 2628^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=6948.

It is a super-3 number, since 3×965494083 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (96549403) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 500160 + ... + 500352.

Almost surely, 296549408 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 96549408

96549408 is an abundant number, since it is smaller than the sum of its proper divisors (188878581).

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

96549408 is an equidigital number, since it uses as much as digits as its factorization.

96549408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 96549408 is about 9825.9558313683. The cubic root of 96549408 is about 458.7575292466.

The spelling of 96549408 in words is "ninety-six million, five hundred forty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 193 216 288 324 386 432 579 648 772 864 1158 1296 1544 1737 2316 2592 3088 3474 4632 5211 6176 6948 9264 10422 13896 15633 18528 20844 27792 31266 37249 41688 55584 62532 74498 83376 111747 125064 148996 166752 223494 250128 297992 335241 446988 500256 595984 670482 893976 1005723 1191968 1340964 1787952 2011446 2681928 3017169 3575904 4022892 5363856 6034338 8045784 10727712 12068676 16091568 24137352 32183136 48274704 96549408