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85349625 = 353436779
BaseRepresentation
bin1010001011001…
…01010011111001
312221121012200020
411011211103321
5133322142000
612245201053
72054313504
oct505452371
9187535606
1085349625
11441a5489
1224700189
13148b434a
14b49a13b
15775dba0
hex51654f9

85349625 has 64 divisors (see below), whose sum is σ = 149360640. Its totient is φ = 43243200.

The previous prime is 85349623. The next prime is 85349633. The reversal of 85349625 is 52694358.

It is not a de Polignac number, because 85349625 - 21 = 85349623 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (85349623) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1080336 + ... + 1080414.

It is an arithmetic number, because the mean of its divisors is an integer number (2333760).

Almost surely, 285349625 is an apocalyptic number.

It is an amenable number.

85349625 is a deficient number, since it is larger than the sum of its proper divisors (64011015).

85349625 is a wasteful number, since it uses less digits than its factorization.

85349625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 197 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 85349625 is about 9238.4860772748. The cubic root of 85349625 is about 440.2849823917.

The spelling of 85349625 in words is "eighty-five million, three hundred forty-nine thousand, six hundred twenty-five".

Divisors: 1 3 5 15 25 43 67 75 79 125 129 201 215 237 335 375 395 645 1005 1075 1185 1675 1975 2881 3225 3397 5025 5293 5375 5925 8375 8643 9875 10191 14405 15879 16125 16985 25125 26465 29625 43215 50955 72025 79395 84925 132325 216075 227599 254775 360125 396975 424625 661625 682797 1080375 1137995 1273875 1984875 3413985 5689975 17069925 28449875 85349625