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96306048 = 2732412039
BaseRepresentation
bin1011011110110…
…00001110000000
320201012212001200
411233120032000
5144123243143
613320101200
72246405436
oct557301600
9221185050
1096306048
114a3a9183
1228304800
1316c4c337
14cb0cd56
1586c51d3
hex5bd8380

96306048 has 96 divisors (see below), whose sum is σ = 284029200. Its totient is φ = 31303680.

The previous prime is 96306029. The next prime is 96306073. The reversal of 96306048 is 84060369.

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 46213 + ... + 48251.

Almost surely, 296306048 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 96306048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142014600).

96306048 is an abundant number, since it is smaller than the sum of its proper divisors (187723152).

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

96306048 is a wasteful number, since it uses less digits than its factorization.

96306048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 96306048 is about 9813.5644900311. The cubic root of 96306048 is about 458.3717607303.

The spelling of 96306048 in words is "ninety-six million, three hundred six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 288 328 369 384 492 576 656 738 984 1152 1312 1476 1968 2039 2624 2952 3936 4078 5248 5904 6117 7872 8156 11808 12234 15744 16312 18351 23616 24468 32624 36702 47232 48936 65248 73404 83599 97872 130496 146808 167198 195744 250797 260992 293616 334396 391488 501594 587232 668792 752391 782976 1003188 1174464 1337584 1504782 2006376 2348928 2675168 3009564 4012752 5350336 6019128 8025504 10700672 12038256 16051008 24076512 32102016 48153024 96306048