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42772158 = 233111329191
BaseRepresentation
bin1010001100101…
…0011010111110
32222111001101000
42203022122332
541422202113
64124431130
71026362112
oct243123276
988431330
1042772158
11221643a0
12123a84a6
138b27590
145975742
153b4d373
hex28ca6be

42772158 has 128 divisors (see below), whose sum is σ = 116121600. Its totient is φ = 11491200.

The previous prime is 42772123. The next prime is 42772159. The reversal of 42772158 is 85127724.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42772159) 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, 223843 + ... + 224033.

It is an arithmetic number, because the mean of its divisors is an integer number (907200).

Almost surely, 242772158 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42772158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58060800).

42772158 is an abundant number, since it is smaller than the sum of its proper divisors (73349442).

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

42772158 is a wasteful number, since it uses less digits than its factorization.

42772158 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 249 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 42772158 is about 6540.0426604113. The cubic root of 42772158 is about 349.7199337769.

The spelling of 42772158 in words is "forty-two million, seven hundred seventy-two thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 29 33 39 54 58 66 78 87 99 117 143 174 191 198 234 261 286 297 319 351 377 382 429 522 573 594 638 702 754 783 858 957 1131 1146 1287 1566 1719 1914 2101 2262 2483 2574 2871 3393 3438 3861 4147 4202 4966 5157 5539 5742 6303 6786 7449 7722 8294 8613 10179 10314 11078 12441 12606 14898 16617 17226 18909 20358 22347 24882 27313 33234 37323 37818 44694 49851 54626 56727 60929 67041 72007 74646 81939 99702 111969 113454 121858 134082 144014 149553 163878 182787 216021 223938 245817 299106 365574 432042 491634 548361 648063 737451 792077 1096722 1296126 1474902 1584154 1645083 1944189 2376231 3290166 3888378 4752462 7128693 14257386 21386079 42772158