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81639792 = 24331314537
BaseRepresentation
bin1001101110110…
…11100101110000
312200121201202000
410313123211300
5131344433132
612033454000
72010632613
oct467334560
9180551660
1081639792
11420a1203
1223411300
1313bb5890
14abb217a
15727987c
hex4ddb970

81639792 has 80 divisors (see below), whose sum is σ = 252379680. Its totient is φ = 25118208.

The previous prime is 81639749. The next prime is 81639809. The reversal of 81639792 is 29793618.

81639792 is a `hidden beast` number, since 8 + 1 + 639 + 7 + 9 + 2 = 666.

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, 1653 + ... + 12884.

It is an arithmetic number, because the mean of its divisors is an integer number (3154746).

Almost surely, 281639792 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 81639792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126189840).

81639792 is an abundant number, since it is smaller than the sum of its proper divisors (170739888).

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

81639792 is a wasteful number, since it uses less digits than its factorization.

81639792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14567 (or 14555 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 81639792 is about 9035.4740882811. The cubic root of 81639792 is about 433.8110696983.

It can be divided in two parts, 8163 and 9792, that added together give a triangular number (17955 = T189).

The spelling of 81639792 in words is "eighty-one million, six hundred thirty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 14537 29074 43611 58148 87222 116296 130833 174444 188981 232592 261666 348888 377962 392499 523332 566943 697776 755924 784998 1046664 1133886 1511848 1569996 1700829 2093328 2267772 3023696 3139992 3401658 4535544 5102487 6279984 6803316 9071088 10204974 13606632 20409948 27213264 40819896 81639792