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92728441 = 1323131753
BaseRepresentation
bin1011000011011…
…10110001111001
320110111002111201
411201232301321
5142214302231
613111254201
72204115211
oct541566171
9213432451
1092728441
1148385283
122707a361
1316298b00
14c45b241
15821a161
hex586ec79

92728441 has 12 divisors (see below), whose sum is σ = 100788348. Its totient is φ = 85273344.

The previous prime is 92728397. The next prime is 92728451. The reversal of 92728441 is 14482729.

It can be written as a sum of positive squares in 6 ways, for example, as 69889600 + 22838841 = 8360^2 + 4779^2 .

It is not a de Polignac number, because 92728441 - 217 = 92597369 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 92728441.

It is not an unprimeable number, because it can be changed into a prime (92728451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52021 + ... + 53773.

It is an arithmetic number, because the mean of its divisors is an integer number (8399029).

Almost surely, 292728441 is an apocalyptic number.

It is an amenable number.

92728441 is a deficient number, since it is larger than the sum of its proper divisors (8059907).

92728441 is a wasteful number, since it uses less digits than its factorization.

92728441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2079 counting only the distinct ones).

The product of its digits is 32256, while the sum is 37.

The square root of 92728441 is about 9629.5607895688. The cubic root of 92728441 is about 452.6240775704.

The spelling of 92728441 in words is "ninety-two million, seven hundred twenty-eight thousand, four hundred forty-one".

Divisors: 1 13 169 313 1753 4069 22789 52897 296257 548689 7132957 92728441