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96288144 = 24313115313
BaseRepresentation
bin1011011110100…
…11110110010000
320201011221111120
411233103312100
5144122210034
613315442240
72246302311
oct557236620
9221157446
1096288144
114a396787
12282b6380
1316c44144
14cb06608
1586bec49
hex5bd3d90

96288144 has 40 divisors (see below), whose sum is σ = 250659552. Its totient is φ = 31848960.

The previous prime is 96288113. The next prime is 96288169. The reversal of 96288144 is 44188269.

It is a junction number, because it is equal to n+sod(n) for n = 96288096 and 96288105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1369 + ... + 13944.

Almost surely, 296288144 is an apocalyptic number.

It is an amenable number.

96288144 is an abundant number, since it is smaller than the sum of its proper divisors (154371408).

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

96288144 is a wasteful number, since it uses less digits than its factorization.

96288144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15455 (or 15449 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 96288144 is about 9812.6522408572. The cubic root of 96288144 is about 458.3433540803.

The spelling of 96288144 in words is "ninety-six million, two hundred eighty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 131 262 393 524 786 1048 1572 2096 3144 6288 15313 30626 45939 61252 91878 122504 183756 245008 367512 735024 2006003 4012006 6018009 8024012 12036018 16048024 24072036 32096048 48144072 96288144