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42980880 = 24353153109
BaseRepresentation
bin1010001111110…
…1011000010000
32222212122200110
42203331120100
542000342010
64133121320
71031221455
oct243753020
988778613
1042980880
1122297198
1212489240
138b9b597
1459cb82c
153b90120
hex28fd610

42980880 has 160 divisors (see below), whose sum is σ = 141419520. Its totient is φ = 10782720.

The previous prime is 42980843. The next prime is 42980887. The reversal of 42980880 is 8808924.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42980887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394266 + ... + 394374.

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

Almost surely, 242980880 is an apocalyptic number.

42980880 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 42980880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70709760).

42980880 is an abundant number, since it is smaller than the sum of its proper divisors (98438640).

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

42980880 is a wasteful number, since it uses less digits than its factorization.

42980880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 42980880 is about 6555.9804758709. The cubic root of 42980880 is about 350.2878720064.

The spelling of 42980880 in words is "forty-two million, nine hundred eighty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 53 60 62 80 93 106 109 120 124 155 159 186 212 218 240 248 265 310 318 327 372 424 436 465 496 530 545 620 636 654 744 795 848 872 930 1060 1090 1240 1272 1308 1488 1590 1635 1643 1744 1860 2120 2180 2480 2544 2616 3180 3270 3286 3379 3720 4240 4360 4929 5232 5777 6360 6540 6572 6758 7440 8215 8720 9858 10137 11554 12720 13080 13144 13516 16430 16895 17331 19716 20274 23108 24645 26160 26288 27032 28885 32860 33790 34662 39432 40548 46216 49290 50685 54064 57770 65720 67580 69324 78864 81096 86655 92432 98580 101370 115540 131440 135160 138648 162192 173310 179087 197160 202740 231080 270320 277296 346620 358174 394320 405480 462160 537261 693240 716348 810960 895435 1074522 1386480 1432696 1790870 2149044 2686305 2865392 3581740 4298088 5372610 7163480 8596176 10745220 14326960 21490440 42980880