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42301280 = 2557179211
BaseRepresentation
bin1010000101011…
…1011101100000
32221121010110002
42201113131200
541312120110
64110355132
71022361230
oct241273540
987533402
1042301280
112197263a
12121bbaa8
1389c1158
145891cc0
153aa8aa5
hex2857760

42301280 has 96 divisors (see below), whose sum is σ = 115395840. Its totient is φ = 14353920.

The previous prime is 42301279. The next prime is 42301283. The reversal of 42301280 is 8210324.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42301283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200375 + ... + 200585.

It is an arithmetic number, because the mean of its divisors is an integer number (1202040).

Almost surely, 242301280 is an apocalyptic number.

42301280 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 42301280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57697920).

42301280 is an abundant number, since it is smaller than the sum of its proper divisors (73094560).

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

42301280 is a wasteful number, since it uses less digits than its factorization.

42301280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 42301280 is about 6503.9434191881. The cubic root of 42301280 is about 348.4318415766.

The spelling of 42301280 in words is "forty-two million, three hundred one thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 179 211 224 280 358 422 560 716 844 895 1055 1120 1253 1432 1477 1688 1790 2110 2506 2864 2954 3376 3580 4220 5012 5728 5908 6265 6752 7160 7385 8440 10024 11816 12530 14320 14770 16880 20048 23632 25060 28640 29540 33760 37769 40096 47264 50120 59080 75538 100240 118160 151076 188845 200480 236320 264383 302152 377690 528766 604304 755380 1057532 1208608 1321915 1510760 2115064 2643830 3021520 4230128 5287660 6043040 8460256 10575320 21150640 42301280