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42273560 = 23571783107
BaseRepresentation
bin1010000101000…
…0101100011000
32221112201102102
42201100230120
541310223220
64110022532
71022214350
oct241205430
987481372
1042273560
112195382a
12121a7a48
1389b1654
145885b60
153aa0775
hex2850b18

42273560 has 128 divisors (see below), whose sum is σ = 117573120. Its totient is φ = 13350912.

The previous prime is 42273557. The next prime is 42273587. The reversal of 42273560 is 6537224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395027 + ... + 395133.

It is an arithmetic number, because the mean of its divisors is an integer number (918540).

Almost surely, 242273560 is an apocalyptic number.

42273560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42273560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58786560).

42273560 is an abundant number, since it is smaller than the sum of its proper divisors (75299560).

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

42273560 is a wasteful number, since it uses less digits than its factorization.

42273560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 42273560 is about 6501.8120551120. The cubic root of 42273560 is about 348.3557158963.

The spelling of 42273560 in words is "forty-two million, two hundred seventy-three thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 83 85 107 119 136 140 166 170 214 238 280 332 340 415 428 476 535 581 595 664 680 749 830 856 952 1070 1162 1190 1411 1498 1660 1819 2140 2324 2380 2822 2905 2996 3320 3638 3745 4280 4648 4760 5644 5810 5992 7055 7276 7490 8881 9095 9877 11288 11620 12733 14110 14552 14980 17762 18190 19754 23240 25466 28220 29960 35524 36380 39508 44405 49385 50932 56440 62167 63665 71048 72760 79016 88810 98770 101864 124334 127330 150977 177620 197540 248668 254660 301954 310835 355240 395080 497336 509320 603908 621670 754885 1056839 1207816 1243340 1509770 2113678 2486680 3019540 4227356 5284195 6039080 8454712 10568390 21136780 42273560