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96097344 = 2637127563
BaseRepresentation
bin1011011101001…
…01010001000000
320200211020202220
411232211101000
5144100103334
613311411040
72244546120
oct556452100
9220736686
1096097344
114a2763a2
1228223a80
1316ba8345
14ca96c80
158683449
hex5ba5440

96097344 has 112 divisors (see below), whose sum is σ = 293388288. Its totient is φ = 27191808.

The previous prime is 96097333. The next prime is 96097349. The reversal of 96097344 is 44379069.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 96097296 and 96097305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96097349) 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 15 ways as a sum of consecutive naturals, for example, 170407 + ... + 170969.

Almost surely, 296097344 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 96097344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146694144).

96097344 is an abundant number, since it is smaller than the sum of its proper divisors (197290944).

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

96097344 is a wasteful number, since it uses less digits than its factorization.

96097344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 96097344 is about 9802.9252776913. The cubic root of 96097344 is about 458.0404101057.

The spelling of 96097344 in words is "ninety-six million, ninety-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 127 168 192 224 254 336 381 448 508 563 672 762 889 1016 1126 1344 1524 1689 1778 2032 2252 2667 3048 3378 3556 3941 4064 4504 5334 6096 6756 7112 7882 8128 9008 10668 11823 12192 13512 14224 15764 18016 21336 23646 24384 27024 28448 31528 36032 42672 47292 54048 56896 63056 71501 85344 94584 108096 126112 143002 170688 189168 214503 252224 286004 378336 429006 500507 572008 756672 858012 1001014 1144016 1501521 1716024 2002028 2288032 3003042 3432048 4004056 4576064 6006084 6864096 8008112 12012168 13728192 16016224 24024336 32032448 48048672 96097344