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85993149 = 31129591523
BaseRepresentation
bin1010010000000…
…10011010111101
312222210220102110
411020002122331
5134003240044
612311044233
72062633614
oct510023275
9188726373
1085993149
11445a4a20
1224970679
1314a7b228
14b5c687b
1578396b9
hex52026bd

85993149 has 32 divisors (see below), whose sum is σ = 131673600. Its totient is φ = 49434560.

The previous prime is 85993147. The next prime is 85993151. The reversal of 85993149 is 94139958.

It is an interprime number because it is at equal distance from previous prime (85993147) and next prime (85993151).

It is not a de Polignac number, because 85993149 - 21 = 85993147 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 85993098 and 85993107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85993147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55702 + ... + 57224.

It is an arithmetic number, because the mean of its divisors is an integer number (4114800).

Almost surely, 285993149 is an apocalyptic number.

It is an amenable number.

85993149 is a deficient number, since it is larger than the sum of its proper divisors (45680451).

85993149 is a wasteful number, since it uses less digits than its factorization.

85993149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625.

The product of its digits is 349920, while the sum is 48.

The square root of 85993149 is about 9273.2491069743. The cubic root of 85993149 is about 441.3887748678.

The spelling of 85993149 in words is "eighty-five million, nine hundred ninety-three thousand, one hundred forty-nine".

Divisors: 1 3 11 29 33 59 87 177 319 649 957 1523 1711 1947 4569 5133 16753 18821 44167 50259 56463 89857 132501 269571 485837 988427 1457511 2605853 2965281 7817559 28664383 85993149