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96895344 = 24372133169
BaseRepresentation
bin1011100011010…
…00000101110000
320202022210102110
411301220011300
5144301122334
613340445320
72254411500
oct561500560
9222283373
1096895344
114a7709a7
1228549840
13170c7630
14cc23a00
15878eae9
hex5c68170

96895344 has 120 divisors (see below), whose sum is σ = 313677840. Its totient is φ = 25546752.

The previous prime is 96895339. The next prime is 96895349. The reversal of 96895344 is 44359869.

It is an interprime number because it is at equal distance from previous prime (96895339) and next prime (96895349).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 96895293 and 96895302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96895349) 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 23 ways as a sum of consecutive naturals, for example, 28992 + ... + 32160.

It is an arithmetic number, because the mean of its divisors is an integer number (2613982).

Almost surely, 296895344 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 96895344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156838920).

96895344 is an abundant number, since it is smaller than the sum of its proper divisors (216782496).

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

96895344 is a wasteful number, since it uses less digits than its factorization.

96895344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3207 (or 3194 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 96895344 is about 9843.5432644958. The cubic root of 96895344 is about 459.3047847330.

The spelling of 96895344 in words is "ninety-six million, eight hundred ninety-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 147 156 168 182 196 208 273 294 312 336 364 392 546 588 624 637 728 784 1092 1176 1274 1456 1911 2184 2352 2548 3169 3822 4368 5096 6338 7644 9507 10192 12676 15288 19014 22183 25352 30576 38028 41197 44366 50704 66549 76056 82394 88732 123591 133098 152112 155281 164788 177464 247182 266196 288379 310562 329576 354928 465843 494364 532392 576758 621124 659152 865137 931686 988728 1064784 1153516 1242248 1730274 1863372 1977456 2018653 2307032 2484496 3460548 3726744 4037306 4614064 6055959 6921096 7453488 8074612 12111918 13842192 16149224 24223836 32298448 48447672 96895344