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42151536 = 2433753263
BaseRepresentation
bin1010000011001…
…0111001110000
32221022112001000
42200302321300
541242322121
64103242000
71021165530
oct240627160
987275030
1042151536
1121880089
1212149300
13896ac4b
1458534c0
153a79526
hex2832e70

42151536 has 160 divisors (see below), whose sum is σ = 141419520. Its totient is φ = 11771136.

The previous prime is 42151523. The next prime is 42151553. The reversal of 42151536 is 63515124.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160141 + ... + 160403.

It is an arithmetic number, because the mean of its divisors is an integer number (883872).

Almost surely, 242151536 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 42151536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70709760).

42151536 is an abundant number, since it is smaller than the sum of its proper divisors (99267984).

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

42151536 is a wasteful number, since it uses less digits than its factorization.

42151536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 328 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 42151536 is about 6492.4214280960. The cubic root of 42151536 is about 348.0202128569.

The spelling of 42151536 in words is "forty-two million, one hundred fifty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 53 54 56 63 72 84 106 108 112 126 144 159 168 189 212 216 252 263 318 336 371 378 424 432 477 504 526 636 742 756 789 848 954 1008 1052 1113 1272 1431 1484 1512 1578 1841 1908 2104 2226 2367 2544 2862 2968 3024 3156 3339 3682 3816 4208 4452 4734 5523 5724 5936 6312 6678 7101 7364 7632 8904 9468 10017 11046 11448 12624 13356 13939 14202 14728 16569 17808 18936 20034 22092 22896 26712 27878 28404 29456 33138 37872 40068 41817 44184 49707 53424 55756 56808 66276 80136 83634 88368 97573 99414 111512 113616 125451 132552 160272 167268 195146 198828 223024 250902 265104 292719 334536 376353 390292 397656 501804 585438 669072 752706 780584 795312 878157 1003608 1170876 1505412 1561168 1756314 2007216 2341752 2634471 3010824 3512628 4683504 5268942 6021648 7025256 10537884 14050512 21075768 42151536