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162425106 = 23217796719
BaseRepresentation
bin10011010111001…
…10100100010010
3102022122001100200
421223212210102
5313040100411
624041200030
74011406404
oct1153464422
9368561320
10162425106
1183759428
1246490016
132785c53c
1417800b74
15e3d5e56
hex9ae6912

162425106 has 48 divisors (see below), whose sum is σ = 377395200. Its totient is φ = 50304384.

The previous prime is 162425101. The next prime is 162425119. The reversal of 162425106 is 601524261.

162425106 is a `hidden beast` number, since 1 + 624 + 25 + 10 + 6 = 666.

It is a super-2 number, since 2×1624251062 = 52763830118222472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 162425106.

It is not an unprimeable number, because it can be changed into a prime (162425101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20815 + ... + 27533.

It is an arithmetic number, because the mean of its divisors is an integer number (7862400).

Almost surely, 2162425106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162425106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188697600).

162425106 is an abundant number, since it is smaller than the sum of its proper divisors (214970094).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

162425106 is a wasteful number, since it uses less digits than its factorization.

162425106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6823 (or 6820 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 162425106 is about 12744.6108610659. The cubic root of 162425106 is about 545.6125940031.

Adding to 162425106 its reverse (601524261), we get a palindrome (763949367).

The spelling of 162425106 in words is "one hundred sixty-two million, four hundred twenty-five thousand, one hundred six".

Divisors: 1 2 3 6 9 17 18 34 51 79 102 153 158 237 306 474 711 1343 1422 2686 4029 6719 8058 12087 13438 20157 24174 40314 60471 114223 120942 228446 342669 530801 685338 1028007 1061602 1592403 2056014 3184806 4777209 9023617 9554418 18047234 27070851 54141702 81212553 162425106