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96027444 = 2234192821
BaseRepresentation
bin1011011100101…
…00001100110100
320200200200220000
411232110030310
5144040334234
613310111300
72244135252
oct556241464
9220620800
1096027444
114a228927
12281ab530
1316b82596
14ca795d2
15866c899
hex5b94334

96027444 has 90 divisors (see below), whose sum is σ = 265265154. Its totient is φ = 30287520.

The previous prime is 96027427. The next prime is 96027457. The reversal of 96027444 is 44472069.

96027444 is a `hidden beast` number, since 9 + 602 + 7 + 4 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 73102500 + 22924944 = 8550^2 + 4788^2 .

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 = 96027399 and 96027408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 116554 + ... + 117374.

Almost surely, 296027444 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 96027444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132632577).

96027444 is an abundant number, since it is smaller than the sum of its proper divisors (169237710).

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

96027444 is a wasteful number, since it uses less digits than its factorization.

96027444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 96027444 is about 9799.3593668158. The cubic root of 96027444 is about 457.9293255554.

The spelling of 96027444 in words is "ninety-six million, twenty-seven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 361 513 684 722 821 1026 1083 1444 1539 1642 2052 2166 2463 3078 3249 3284 4332 4926 6156 6498 7389 9747 9852 12996 14778 15599 19494 22167 29241 29556 31198 38988 44334 46797 58482 62396 66501 88668 93594 116964 133002 140391 187188 266004 280782 296381 421173 561564 592762 842346 889143 1185524 1263519 1684692 1778286 2527038 2667429 3556572 5054076 5334858 8002287 10669716 16004574 24006861 32009148 48013722 96027444