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96387246 = 23417311129
BaseRepresentation
bin1011011111011…
…00000010101110
320201100222110000
411233230002232
5144133342441
613321525130
72250164244
oct557540256
9221328400
1096387246
114a45418a
12283437a6
1316c7a297
14cb30794
1586de2b6
hex5bec0ae

96387246 has 80 divisors (see below), whose sum is σ = 236269440. Its totient is φ = 29237760.

The previous prime is 96387217. The next prime is 96387281. The reversal of 96387246 is 64278369.

96387246 is a `hidden beast` number, since 9 + 638 + 7 + 2 + 4 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 84810 + ... + 85938.

It is an arithmetic number, because the mean of its divisors is an integer number (2953368).

Almost surely, 296387246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96387246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118134720).

96387246 is an abundant number, since it is smaller than the sum of its proper divisors (139882194).

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

96387246 is a wasteful number, since it uses less digits than its factorization.

96387246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1182 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 96387246 is about 9817.7006473003. The cubic root of 96387246 is about 458.5005460484.

It can be divided in two parts, 963 and 87246, that added together give a square (88209 = 2972).

The spelling of 96387246 in words is "ninety-six million, three hundred eighty-seven thousand, two hundred forty-six".

Divisors: 1 2 3 6 9 17 18 27 31 34 51 54 62 81 93 102 153 162 186 279 306 459 527 558 837 918 1054 1129 1377 1581 1674 2258 2511 2754 3162 3387 4743 5022 6774 9486 10161 14229 19193 20322 28458 30483 34999 38386 42687 57579 60966 69998 85374 91449 104997 115158 172737 182898 209994 314991 345474 518211 594983 629982 944973 1036422 1189966 1554633 1784949 1889946 2834919 3109266 3569898 5354847 5669838 10709694 16064541 32129082 48193623 96387246