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42857424 = 243573151
BaseRepresentation
bin1010001101111…
…1001111010000
32222122101100000
42203133033100
541432414144
64130330000
71030165521
oct243371720
988571300
1042857424
1122212465
1212429900
138b5732c
145998848
153b68769
hex28df3d0

42857424 has 120 divisors (see below), whose sum is σ = 126922432. Its totient is φ = 13996800.

The previous prime is 42857417. The next prime is 42857471. The reversal of 42857424 is 42475824.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283749 + ... + 283899.

Almost surely, 242857424 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 42857424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63461216).

42857424 is an abundant number, since it is smaller than the sum of its proper divisors (84065008).

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

42857424 is a wasteful number, since it uses less digits than its factorization.

42857424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 229 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 42857424 is about 6546.5581796850. The cubic root of 42857424 is about 349.9521676130.

The spelling of 42857424 in words is "forty-two million, eight hundred fifty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 81 108 144 146 151 162 216 219 243 292 302 324 432 438 453 486 584 604 648 657 876 906 972 1168 1208 1296 1314 1359 1752 1812 1944 1971 2416 2628 2718 3504 3624 3888 3942 4077 5256 5436 5913 7248 7884 8154 10512 10872 11023 11826 12231 15768 16308 17739 21744 22046 23652 24462 31536 32616 33069 35478 36693 44092 47304 48924 65232 66138 70956 73386 88184 94608 97848 99207 132276 141912 146772 176368 195696 198414 264552 283824 293544 297621 396828 529104 587088 595242 793656 892863 1190484 1587312 1785726 2380968 2678589 3571452 4761936 5357178 7142904 10714356 14285808 21428712 42857424