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96250112 = 28727673
BaseRepresentation
bin1011011110010…
…10100100000000
320201010000022222
411233022210000
5144120000422
613314550212
72246053400
oct557124400
9221100288
1096250112
114a370152
1228298368
1316c2ca3a
14cad6800
1586b3842
hex5bca900

96250112 has 54 divisors (see below), whose sum is σ = 223520598. Its totient is φ = 41244672.

The previous prime is 96250111. The next prime is 96250139. The reversal of 96250112 is 21105269.

It can be written as a sum of positive squares in only one way, i.e., 86415616 + 9834496 = 9296^2 + 3136^2 .

It is not an unprimeable number, because it can be changed into a prime (96250111) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 8708 + ... + 16380.

Almost surely, 296250112 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 96250112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111760299).

96250112 is an abundant number, since it is smaller than the sum of its proper divisors (127270486).

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

96250112 is an equidigital number, since it uses as much as digits as its factorization.

96250112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7703 (or 7682 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 96250112 is about 9810.7141432212. The cubic root of 96250112 is about 458.2830004746.

The spelling of 96250112 in words is "ninety-six million, two hundred fifty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 6272 7673 12544 15346 30692 53711 61384 107422 122768 214844 245536 375977 429688 491072 751954 859376 982144 1503908 1718752 1964288 3007816 3437504 6015632 6875008 12031264 13750016 24062528 48125056 96250112