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96783336 = 23341311489
BaseRepresentation
bin1011100010011…
…00101111101000
320202010002210000
411301030233220
5144234031321
613334223000
72253434106
oct561145750
9222102700
1096783336
114a6a4831
12284b4a60
1317088660
14cbd4c76
15876b826
hex5c4cbe8

96783336 has 80 divisors (see below), whose sum is σ = 291960900. Its totient is φ = 29776896.

The previous prime is 96783311. The next prime is 96783361. The reversal of 96783336 is 63338769.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (96783311) and next prime (96783361).

It can be written as a sum of positive squares in 2 ways, for example, as 85932900 + 10850436 = 9270^2 + 3294^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 96783291 and 96783300.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2680 + ... + 14168.

Almost surely, 296783336 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 96783336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145980450).

96783336 is an abundant number, since it is smaller than the sum of its proper divisors (195177564).

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

96783336 is a wasteful number, since it uses less digits than its factorization.

96783336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11520 (or 11507 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 96783336 is about 9837.8522046227. The cubic root of 96783336 is about 459.1277358189.

The spelling of 96783336 in words is "ninety-six million, seven hundred eighty-three thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 8424 11489 22978 34467 45956 68934 91912 103401 137868 149357 206802 275736 298714 310203 413604 448071 597428 620406 827208 896142 930609 1194856 1240812 1344213 1792284 1861218 2481624 2688426 3584568 3722436 4032639 5376852 7444872 8065278 10753704 12097917 16130556 24195834 32261112 48391668 96783336