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96224544 = 2533132659
BaseRepresentation
bin1011011110001…
…00010100100000
320201001201021000
411233010110200
5144113141134
613314232000
72245616013
oct557042440
9221051230
1096224544
114a352a19
1228285600
1316c21200
14cacb37a
1586aae99
hex5bc4520

96224544 has 144 divisors (see below), whose sum is σ = 304365600. Its totient is φ = 29562624.

The previous prime is 96224533. The next prime is 96224551. The reversal of 96224544 is 44542269.

96224544 is a `hidden beast` number, since 96 + 2 + 24 + 544 = 666.

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

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 = 96224499 and 96224508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145687 + ... + 146345.

It is an arithmetic number, because the mean of its divisors is an integer number (2113650).

Almost surely, 296224544 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 96224544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152182800).

96224544 is an abundant number, since it is smaller than the sum of its proper divisors (208141056).

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

96224544 is a wasteful number, since it uses less digits than its factorization.

96224544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 677 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 96224544 is about 9809.4109914918. The cubic root of 96224544 is about 458.2424172580.

The spelling of 96224544 in words is "ninety-six million, two hundred twenty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 169 208 216 234 288 312 338 351 416 432 468 507 624 659 676 702 864 936 1014 1248 1318 1352 1404 1521 1872 1977 2028 2636 2704 2808 3042 3744 3954 4056 4563 5272 5408 5616 5931 6084 7908 8112 8567 9126 10544 11232 11862 12168 15816 16224 17134 17793 18252 21088 23724 24336 25701 31632 34268 35586 36504 47448 48672 51402 63264 68536 71172 73008 77103 94896 102804 111371 137072 142344 146016 154206 189792 205608 222742 231309 274144 284688 308412 334113 411216 445484 462618 569376 616824 668226 822432 890968 925236 1002339 1233648 1336452 1781936 1850472 2004678 2467296 2672904 3007017 3563872 3700944 4009356 5345808 6014034 7401888 8018712 10691616 12028068 16037424 24056136 32074848 48112272 96224544