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162856144 = 241119311571
BaseRepresentation
bin10011011010011…
…11110011010000
3102100102221122001
421231033303100
5313142344034
624054323344
74015153153
oct1155176320
9370387561
10162856144
1183a23260
1246659554
13279807a9
14178b3c9a
15e46da14
hex9b4fcd0

162856144 has 80 divisors (see below), whose sum is σ = 374261760. Its totient is φ = 67824000.

The previous prime is 162856117. The next prime is 162856159. The reversal of 162856144 is 441658261.

162856144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102879 + ... + 104449.

It is an arithmetic number, because the mean of its divisors is an integer number (4678272).

Almost surely, 2162856144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162856144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187130880).

162856144 is an abundant number, since it is smaller than the sum of its proper divisors (211405616).

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

162856144 is a wasteful number, since it uses less digits than its factorization.

162856144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1634 counting only the distinct ones).

The product of its digits is 46080, while the sum is 37.

The square root of 162856144 is about 12761.5102554517. The cubic root of 162856144 is about 546.0948101580.

The spelling of 162856144 in words is "one hundred sixty-two million, eight hundred fifty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 31 38 44 62 76 88 124 152 176 209 248 304 341 418 496 589 682 836 1178 1364 1571 1672 2356 2728 3142 3344 4712 5456 6284 6479 9424 12568 12958 17281 25136 25916 29849 34562 48701 51832 59698 69124 97402 103664 119396 138248 194804 238792 276496 328339 389608 477584 535711 656678 779216 925319 1071422 1313356 1850638 2142844 2626712 3701276 4285688 5253424 7402552 8571376 10178509 14805104 20357018 40714036 81428072 162856144