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85909395 = 3511313331
BaseRepresentation
bin1010001111011…
…01111110010011
312222122122112110
411013231332103
5133443100040
612305200403
72062134465
oct507557623
9188578473
1085909395
1144548000
1224930103
1314a4c080
14b5a4135
15781e980
hex51edf93

85909395 has 64 divisors (see below), whose sum is σ = 163312128. Its totient is φ = 38332800.

The previous prime is 85909387. The next prime is 85909433. The reversal of 85909395 is 59390958.

It is not a de Polignac number, because 85909395 - 23 = 85909387 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 259380 + ... + 259710.

It is an arithmetic number, because the mean of its divisors is an integer number (2551752).

Almost surely, 285909395 is an apocalyptic number.

85909395 is a deficient number, since it is larger than the sum of its proper divisors (77402733).

85909395 is a wasteful number, since it uses less digits than its factorization.

85909395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 48.

The square root of 85909395 is about 9268.7321139409. The cubic root of 85909395 is about 441.2454297905.

The spelling of 85909395 in words is "eighty-five million, nine hundred nine thousand, three hundred ninety-five".

Divisors: 1 3 5 11 13 15 33 39 55 65 121 143 165 195 331 363 429 605 715 993 1331 1573 1655 1815 2145 3641 3993 4303 4719 4965 6655 7865 10923 12909 17303 18205 19965 21515 23595 40051 47333 51909 54615 64545 86515 120153 141999 200255 236665 259545 440561 520663 600765 709995 1321683 1561989 2202805 2603315 5727293 6608415 7809945 17181879 28636465 85909395