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42857080 = 2357269569
BaseRepresentation
bin1010001101111…
…1001001111000
32222122100212021
42203133021320
541432411310
64130324224
71030164520
oct243371170
988570767
1042857080
1122212182
1212429674
138b57126
145998680
153b685da
hex28df278

42857080 has 64 divisors (see below), whose sum is σ = 110808000. Its totient is φ = 14613504.

The previous prime is 42857077. The next prime is 42857093. The reversal of 42857080 is 8075824.

It is a super-2 number, since 2×428570802 = 3673458612252800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75036 + ... + 75604.

It is an arithmetic number, because the mean of its divisors is an integer number (1731375).

Almost surely, 242857080 is an apocalyptic number.

42857080 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 42857080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55404000).

42857080 is an abundant number, since it is smaller than the sum of its proper divisors (67950920).

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

42857080 is a wasteful number, since it uses less digits than its factorization.

42857080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 42857080 is about 6546.5319062844. The cubic root of 42857080 is about 349.9512313002.

Adding to 42857080 its product of nonzero digits (17920), we get a cube (42875000 = 3503).

The spelling of 42857080 in words is "forty-two million, eight hundred fifty-seven thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 269 280 538 569 1076 1138 1345 1883 2152 2276 2690 2845 3766 3983 4552 5380 5690 7532 7966 9415 10760 11380 15064 15932 18830 19915 22760 31864 37660 39830 75320 79660 153061 159320 306122 612244 765305 1071427 1224488 1530610 2142854 3061220 4285708 5357135 6122440 8571416 10714270 21428540 42857080