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96126208 = 28463811
BaseRepresentation
bin1011011101011…
…00010100000000
320200212201100221
411232230110000
5144102014313
613312152424
72245026223
oct556542400
9220781327
1096126208
114a296052
1228238714
1316bb8519
14caa35ba
15868bc8d
hex5bac500

96126208 has 36 divisors (see below), whose sum is σ = 192528448. Its totient is φ = 47900160.

The previous prime is 96126197. The next prime is 96126221. The reversal of 96126208 is 80262169.

It is a happy number.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 118123 + ... + 118933.

Almost surely, 296126208 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 96126208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96264224).

96126208 is an abundant number, since it is smaller than the sum of its proper divisors (96402240).

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

96126208 is an equidigital number, since it uses as much as digits as its factorization.

96126208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 96126208 is about 9804.3973807675. The cubic root of 96126208 is about 458.0862648414.

The spelling of 96126208 in words is "ninety-six million, one hundred twenty-six thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 64 128 256 463 811 926 1622 1852 3244 3704 6488 7408 12976 14816 25952 29632 51904 59264 103808 118528 207616 375493 750986 1501972 3003944 6007888 12015776 24031552 48063104 96126208