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96416082 = 23774767
BaseRepresentation
bin1011011111100…
…11000101010010
320201102110000000
411233303011102
5144140303312
613322310430
72250344310
oct557630522
9221373000
1096416082
114a473914
1228358416
1316c8a449
14cb3b0b0
1586e7adc
hex5bf3152

96416082 has 128 divisors (see below), whose sum is σ = 256942080. Its totient is φ = 26558928.

The previous prime is 96416081. The next prime is 96416141. The reversal of 96416082 is 28061469.

96416082 is a `hidden beast` number, since 9 + 6 + 41 + 608 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (96416081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1439013 + ... + 1439079.

It is an arithmetic number, because the mean of its divisors is an integer number (2007360).

Almost surely, 296416082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96416082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128471040).

96416082 is an abundant number, since it is smaller than the sum of its proper divisors (160525998).

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

96416082 is an equidigital number, since it uses as much as digits as its factorization.

96416082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 96416082 is about 9819.1691094512. The cubic root of 96416082 is about 458.5462644190.

The spelling of 96416082 in words is "ninety-six million, four hundred sixteen thousand, eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 54 63 67 81 94 126 134 141 162 189 201 243 282 329 378 402 423 469 486 567 603 658 729 846 938 987 1134 1206 1269 1407 1458 1701 1809 1974 2187 2538 2814 2961 3149 3402 3618 3807 4221 4374 5103 5427 5922 6298 7614 8442 8883 9447 10206 10854 11421 12663 15309 16281 17766 18894 22043 22842 25326 26649 28341 30618 32562 34263 37989 44086 48843 53298 56682 66129 68526 75978 79947 85023 97686 102789 113967 132258 146529 159894 170046 198387 205578 227934 239841 255069 293058 341901 396774 479682 510138 595161 683802 719523 765207 1025703 1190322 1439046 1530414 1785483 2051406 2295621 3570966 4591242 5356449 6886863 10712898 13773726 16069347 32138694 48208041 96416082