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81796384 = 2517532837
BaseRepresentation
bin1001110000000…
…01110100100000
312200220200112201
410320001310200
5131414441014
612041102544
72012154265
oct470016440
9180820481
1081796384
114219891a
1223487a54
1313c3bc37
14ac1326c
1572aae74
hex4e01d20

81796384 has 48 divisors (see below), whose sum is σ = 173787768. Its totient is φ = 37752832.

The previous prime is 81796373. The next prime is 81796391. The reversal of 81796384 is 48369718.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 67568400 + 14227984 = 8220^2 + 3772^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27414 + ... + 30250.

Almost surely, 281796384 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 81796384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86893884).

81796384 is an abundant number, since it is smaller than the sum of its proper divisors (91991384).

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

81796384 is a wasteful number, since it uses less digits than its factorization.

81796384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2917 (or 2909 counting only the distinct ones).

The product of its digits is 290304, while the sum is 46.

The square root of 81796384 is about 9044.1353373332. The cubic root of 81796384 is about 434.0882546139.

The spelling of 81796384 in words is "eighty-one million, seven hundred ninety-six thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 53 68 106 136 212 272 424 544 848 901 1696 1802 2837 3604 5674 7208 11348 14416 22696 28832 45392 48229 90784 96458 150361 192916 300722 385832 601444 771664 1202888 1543328 2405776 2556137 4811552 5112274 10224548 20449096 40898192 81796384