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42448140 = 22325759571
BaseRepresentation
bin1010000111101…
…1010100001100
32221212120220100
42201323110030
541331320030
64113451100
71023542340
oct241732414
987776810
1042448140
1121a62a09
1212270a90
138a42c57
1458cd620
153ad7360
hex287b50c

42448140 has 144 divisors (see below), whose sum is σ = 149909760. Its totient is φ = 9521280.

The previous prime is 42448103. The next prime is 42448151. The reversal of 42448140 is 4184424.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74055 + ... + 74625.

It is an arithmetic number, because the mean of its divisors is an integer number (1041040).

Almost surely, 242448140 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 42448140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74954880).

42448140 is an abundant number, since it is smaller than the sum of its proper divisors (107461620).

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

42448140 is a wasteful number, since it uses less digits than its factorization.

42448140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 42448140 is about 6515.2237106641. The cubic root of 42448140 is about 348.8346000487.

The spelling of 42448140 in words is "forty-two million, four hundred forty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 59 60 63 70 84 90 105 118 126 140 177 180 210 236 252 295 315 354 413 420 531 571 590 630 708 826 885 1062 1142 1180 1239 1260 1652 1713 1770 2065 2124 2284 2478 2655 2855 3426 3540 3717 3997 4130 4956 5139 5310 5710 6195 6852 7434 7994 8260 8565 10278 10620 11420 11991 12390 14868 15988 17130 18585 19985 20556 23982 24780 25695 33689 34260 35973 37170 39970 47964 51390 59955 67378 71946 74340 79940 101067 102780 119910 134756 143892 168445 179865 202134 235823 239820 303201 336890 359730 404268 471646 505335 606402 673780 707469 719460 943292 1010670 1179115 1212804 1414938 1516005 2021340 2122407 2358230 2829876 3032010 3537345 4244814 4716460 6064020 7074690 8489628 10612035 14149380 21224070 42448140