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42658770 = 23571159313
BaseRepresentation
bin1010001010111…
…0101111010010
32222021021211110
42202232233102
541410040040
64122154150
71025410410
oct242565722
988237743
1042658770
1122097190
1212352956
138ab7a9b
1459462b0
153b29980
hex28aebd2

42658770 has 128 divisors (see below), whose sum is σ = 130222080. Its totient is φ = 8686080.

The previous prime is 42658753. The next prime is 42658783. The reversal of 42658770 is 7785624.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136134 + ... + 136446.

It is an arithmetic number, because the mean of its divisors is an integer number (1017360).

Almost surely, 242658770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42658770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65111040).

42658770 is an abundant number, since it is smaller than the sum of its proper divisors (87563310).

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

42658770 is a wasteful number, since it uses less digits than its factorization.

42658770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400.

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 42658770 is about 6531.3681568259. The cubic root of 42658770 is about 349.4106271465.

The spelling of 42658770 in words is "forty-two million, six hundred fifty-eight thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 59 66 70 77 105 110 118 154 165 177 210 231 295 313 330 354 385 413 462 590 626 649 770 826 885 939 1155 1239 1298 1565 1770 1878 1947 2065 2191 2310 2478 3130 3245 3443 3894 4130 4382 4543 4695 6195 6490 6573 6886 9086 9390 9735 10329 10955 12390 13146 13629 17215 18467 19470 20658 21910 22715 24101 27258 32865 34430 36934 45430 48202 51645 55401 65730 68145 72303 92335 103290 110802 120505 129269 136290 144606 184670 203137 241010 258538 277005 361515 387807 406274 554010 609411 646345 723030 775614 1015685 1218822 1292690 1421959 1939035 2031370 2843918 3047055 3878070 4265877 6094110 7109795 8531754 14219590 21329385 42658770