Search a number
-
+
81846604 = 22719236689
BaseRepresentation
bin1001110000011…
…10000101001100
312201000020102201
410320032011030
5131423042404
612042131244
72012453560
oct470160514
9181006381
1081846604
1142222624
12234b0b24
1313c58a58
14ac276a0
1572baca4
hex4e0e14c

81846604 has 48 divisors (see below), whose sum is σ = 179827200. Its totient is φ = 31781376.

The previous prime is 81846593. The next prime is 81846631. The reversal of 81846604 is 40664818.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8892 + ... + 15580.

It is an arithmetic number, because the mean of its divisors is an integer number (3746400).

Almost surely, 281846604 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 81846604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89913600).

81846604 is an abundant number, since it is smaller than the sum of its proper divisors (97980596).

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

81846604 is a wasteful number, since it uses less digits than its factorization.

81846604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6742 (or 6740 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 81846604 is about 9046.9112961275. The cubic root of 81846604 is about 434.1770745640.

The spelling of 81846604 in words is "eighty-one million, eight hundred forty-six thousand, six hundred four".

Divisors: 1 2 4 7 14 19 23 28 38 46 76 92 133 161 266 322 437 532 644 874 1748 3059 6118 6689 12236 13378 26756 46823 93646 127091 153847 187292 254182 307694 508364 615388 889637 1076929 1779274 2153858 2923093 3558548 4307716 5846186 11692372 20461651 40923302 81846604