Search a number
-
+
81804384 = 2533731297
BaseRepresentation
bin1001110000000…
…11110001100000
312200221002112000
410320003301200
5131420220014
612041204000
72012216514
oct470036140
9180832460
1081804384
11421a3932
1223490600
1313c4277c
14ac16144
1572ad509
hex4e03c60

81804384 has 96 divisors (see below), whose sum is σ = 242051040. Its totient is φ = 26873856.

The previous prime is 81804377. The next prime is 81804403. The reversal of 81804384 is 48340818.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62424 + ... + 63720.

It is an arithmetic number, because the mean of its divisors is an integer number (2521365).

Almost surely, 281804384 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 81804384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121025520).

81804384 is an abundant number, since it is smaller than the sum of its proper divisors (160246656).

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

81804384 is a wasteful number, since it uses less digits than its factorization.

81804384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 81804384 is about 9044.5776020774. The cubic root of 81804384 is about 434.1024059845.

The spelling of 81804384 in words is "eighty-one million, eight hundred four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 73 96 108 144 146 216 219 288 292 432 438 584 657 864 876 1168 1297 1314 1752 1971 2336 2594 2628 3504 3891 3942 5188 5256 7008 7782 7884 10376 10512 11673 15564 15768 20752 21024 23346 31128 31536 35019 41504 46692 62256 63072 70038 93384 94681 124512 140076 186768 189362 280152 284043 373536 378724 560304 568086 757448 852129 1120608 1136172 1514896 1704258 2272344 2556387 3029792 3408516 4544688 5112774 6817032 9089376 10225548 13634064 20451096 27268128 40902192 81804384