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96552144 = 24321351577
BaseRepresentation
bin1011100000101…
…00010011010000
320201200100122100
411300110103100
5144204132034
613325240400
72251452063
oct560242320
9221610570
1096552144
114a557067
1228403100
1317007360
14cb748da
158723099
hex5c144d0

96552144 has 60 divisors (see below), whose sum is σ = 291003076. Its totient is φ = 29707776.

The previous prime is 96552121. The next prime is 96552161. The reversal of 96552144 is 44125569.

96552144 is a `hidden beast` number, since 96 + 5 + 521 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31136400 + 65415744 = 5580^2 + 8088^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 96552099 and 96552108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23917 + ... + 27660.

Almost surely, 296552144 is an apocalyptic number.

It is an amenable number.

96552144 is an abundant number, since it is smaller than the sum of its proper divisors (194450932).

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

96552144 is a wasteful number, since it uses less digits than its factorization.

96552144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51604 (or 51595 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 96552144 is about 9826.0950534788. The cubic root of 96552144 is about 458.7618626021.

The spelling of 96552144 in words is "ninety-six million, five hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 51577 103154 154731 206308 309462 412616 464193 618924 670501 825232 928386 1237848 1341002 1856772 2011503 2475696 2682004 3713544 4023006 5364008 6034509 7427088 8046012 10728016 12069018 16092024 24138036 32184048 48276072 96552144