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85361445 = 3451331523
BaseRepresentation
bin1010001011010…
…00001100100101
312221121210220000
411011220030211
5133323031240
612245331513
72054363121
oct505501445
9187553800
1085361445
1144203354
1224706b99
13148b9840
14b4a0581
157762430
hex5168325

85361445 has 80 divisors (see below), whose sum is σ = 170429952. Its totient is φ = 40590720.

The previous prime is 85361431. The next prime is 85361449. The reversal of 85361445 is 54416358.

It is a happy number.

It is not a de Polignac number, because 85361445 - 214 = 85345061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85361449) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 162954 + ... + 163476.

Almost surely, 285361445 is an apocalyptic number.

It is an amenable number.

85361445 is a deficient number, since it is larger than the sum of its proper divisors (85068507).

85361445 is a wasteful number, since it uses less digits than its factorization.

85361445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 575 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 85361445 is about 9239.1257703313. The cubic root of 85361445 is about 440.3053063563.

The spelling of 85361445 in words is "eighty-five million, three hundred sixty-one thousand, four hundred forty-five".

Divisors: 1 3 5 9 13 15 27 31 39 45 65 81 93 117 135 155 195 279 351 403 405 465 523 585 837 1053 1209 1395 1569 1755 2015 2511 2615 3627 4185 4707 5265 6045 6799 7845 10881 12555 14121 16213 18135 20397 23535 32643 33995 42363 48639 54405 61191 70605 81065 101985 145917 163215 183573 210769 211815 243195 305955 437751 550719 632307 729585 917865 1053845 1313253 1896921 2188755 2753595 3161535 5690763 6566265 9484605 17072289 28453815 85361445