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81761292 = 22331315779
BaseRepresentation
bin1001101111110…
…01010000001100
312200211220102000
410313321100030
5131412330132
612040232300
72011650054
oct467712014
9180756360
1081761292
1142174518
122346b690
1313c28c82
14ac04564
1572a087c
hex4df940c

81761292 has 48 divisors (see below), whose sum is σ = 213628800. Its totient is φ = 27041040.

The previous prime is 81761269. The next prime is 81761369. The reversal of 81761292 is 29216718.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11259 + ... + 17037.

It is an arithmetic number, because the mean of its divisors is an integer number (4450600).

Almost surely, 281761292 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 81761292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106814400).

81761292 is an abundant number, since it is smaller than the sum of its proper divisors (131867508).

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

81761292 is a wasteful number, since it uses less digits than its factorization.

81761292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5923 (or 5915 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 81761292 is about 9042.1950874774. The cubic root of 81761292 is about 434.0261687237.

The spelling of 81761292 in words is "eighty-one million, seven hundred sixty-one thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 131 262 393 524 786 1179 1572 2358 3537 4716 5779 7074 11558 14148 17337 23116 34674 52011 69348 104022 156033 208044 312066 624132 757049 1514098 2271147 3028196 4542294 6813441 9084588 13626882 20440323 27253764 40880646 81761292