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42842280 = 23351329947
BaseRepresentation
bin1010001101101…
…1100010101000
32222121121120010
42203123202220
541431423110
64130131520
71030103415
oct243334250
988547503
1042842280
1122202048
1212420ba0
138b50480
14599310c
153b64020
hex28db8a8

42842280 has 128 divisors (see below), whose sum is σ = 143337600. Its totient is φ = 10171392.

The previous prime is 42842269. The next prime is 42842291. The reversal of 42842280 is 8224824.

It is an interprime number because it is at equal distance from previous prime (42842269) and next prime (42842291).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 44767 + ... + 45713.

It is an arithmetic number, because the mean of its divisors is an integer number (1119825).

Almost surely, 242842280 is an apocalyptic number.

42842280 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 42842280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71668800).

42842280 is an abundant number, since it is smaller than the sum of its proper divisors (100495320).

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

42842280 is a wasteful number, since it uses less digits than its factorization.

42842280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 42842280 is about 6545.4014391785. The cubic root of 42842280 is about 349.9109433281.

The spelling of 42842280 in words is "forty-two million, eight hundred forty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 29 30 39 40 52 58 60 65 78 87 104 116 120 130 145 156 174 195 232 260 290 312 348 377 390 435 520 580 696 754 780 870 947 1131 1160 1508 1560 1740 1885 1894 2262 2841 3016 3480 3770 3788 4524 4735 5655 5682 7540 7576 9048 9470 11310 11364 12311 14205 15080 18940 22620 22728 24622 27463 28410 36933 37880 45240 49244 54926 56820 61555 73866 82389 98488 109852 113640 123110 137315 147732 164778 184665 219704 246220 274630 295464 329556 357019 369330 411945 492440 549260 659112 714038 738660 823890 1071057 1098520 1428076 1477320 1647780 1785095 2142114 2856152 3295560 3570190 4284228 5355285 7140380 8568456 10710570 14280760 21421140 42842280