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96328638 = 23276183151
BaseRepresentation
bin1011011110111…
…01101110111110
320201021000001100
411233131232332
5144130004023
613320353530
72246531340
oct557355676
9221230040
1096328638
114a41414a
12283158a6
1316c596c3
14cb17290
1586cbc43
hex5bddbbe

96328638 has 96 divisors (see below), whose sum is σ = 246984192. Its totient is φ = 26568000.

The previous prime is 96328637. The next prime is 96328657. The reversal of 96328638 is 83682369.

96328638 is a `hidden beast` number, since 9 + 6 + 3 + 2 + 8 + 638 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 96328593 and 96328602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96328637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 637863 + ... + 638013.

It is an arithmetic number, because the mean of its divisors is an integer number (2572752).

Almost surely, 296328638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96328638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123492096).

96328638 is an abundant number, since it is smaller than the sum of its proper divisors (150655554).

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

96328638 is a wasteful number, since it uses less digits than its factorization.

96328638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 307 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 96328638 is about 9814.7153804886. The cubic root of 96328638 is about 458.4075972079.

The spelling of 96328638 in words is "ninety-six million, three hundred twenty-eight thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 61 63 83 122 126 151 166 183 249 302 366 427 453 498 549 581 747 854 906 1057 1098 1162 1281 1359 1494 1743 2114 2562 2718 3171 3486 3843 5063 5229 6342 7686 9211 9513 10126 10458 12533 15189 18422 19026 25066 27633 30378 35441 37599 45567 55266 64477 70882 75198 82899 87731 91134 106323 112797 128954 165798 175462 193431 212646 225594 263193 318969 386862 526386 580293 637938 764513 789579 1160586 1529026 1579158 2293539 4587078 5351591 6880617 10703182 13761234 16054773 32109546 48164319 96328638