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96266412 = 223211283859
BaseRepresentation
bin1011011110011…
…10100010101100
320201010211200200
411233032202230
5144121011122
613315153500
72246152044
oct557164254
9221124620
1096266412
114a381420
12282a5890
1316c37298
14cadc724
1586b85ac
hex5bce8ac

96266412 has 72 divisors (see below), whose sum is σ = 266710080. Its totient is φ = 29034720.

The previous prime is 96266371. The next prime is 96266413. The reversal of 96266412 is 21466269.

96266412 is a `hidden beast` number, since 9 + 6 + 2 + 6 + 641 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (96266413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111639 + ... + 112497.

Almost surely, 296266412 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 96266412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133355040).

96266412 is an abundant number, since it is smaller than the sum of its proper divisors (170443668).

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

96266412 is a wasteful number, since it uses less digits than its factorization.

96266412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1158 counting only the distinct ones).

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

The square root of 96266412 is about 9811.5448324920. The cubic root of 96266412 is about 458.3088691589.

The spelling of 96266412 in words is "ninety-six million, two hundred sixty-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 283 396 566 849 859 1132 1698 1718 2547 2577 3113 3396 3436 5094 5154 6226 7731 9339 9449 10188 10308 12452 15462 18678 18898 28017 28347 30924 37356 37796 56034 56694 85041 112068 113388 170082 243097 340164 486194 729291 972388 1458582 2187873 2674067 2917164 4375746 5348134 8022201 8751492 10696268 16044402 24066603 32088804 48133206 96266412