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96332288 = 291341353
BaseRepresentation
bin1011011110111…
…10101000000000
320201021012001112
411233132220000
5144130113123
613320422452
72246545103
oct557365000
9221235045
1096332288
114a416968
1228317a28
1316c5b270
14cb1873a
1586ccd78
hex5bdea00

96332288 has 80 divisors (see below), whose sum is σ = 212939496. Its totient is φ = 43253760.

The previous prime is 96332273. The next prime is 96332297. The reversal of 96332288 is 88223369.

It can be written as a sum of positive squares in 4 ways, for example, as 35617024 + 60715264 = 5968^2 + 7792^2 .

It is a super-2 number, since 2×963322882 = 18559819422629888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

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 7 ways as a sum of consecutive naturals, for example, 272720 + ... + 273072.

Almost surely, 296332288 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 96332288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106469748).

96332288 is an abundant number, since it is smaller than the sum of its proper divisors (116607208).

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

96332288 is a wasteful number, since it uses less digits than its factorization.

96332288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 409 counting only the distinct ones).

The product of its digits is 124416, while the sum is 41.

The square root of 96332288 is about 9814.9013240073. The cubic root of 96332288 is about 458.4133869939.

The spelling of 96332288 in words is "ninety-six million, three hundred thirty-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 128 164 208 256 328 353 416 512 533 656 706 832 1066 1312 1412 1664 2132 2624 2824 3328 4264 4589 5248 5648 6656 8528 9178 10496 11296 14473 17056 18356 20992 22592 28946 34112 36712 45184 57892 68224 73424 90368 115784 136448 146848 180736 188149 231568 272896 293696 376298 463136 587392 752596 926272 1174784 1505192 1852544 2349568 3010384 3705088 6020768 7410176 12041536 24083072 48166144 96332288