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42455000 = 235471213
BaseRepresentation
bin1010000111110…
…0111111011000
32221212221022102
42201330333120
541332030000
64113542532
71023601340
oct241747730
987787272
1042455000
1121a68085
1212274a48
138a46103
1458d1d20
153ad93d5
hex287cfd8

42455000 has 80 divisors (see below), whose sum is σ = 113776080. Its totient is φ = 14544000.

The previous prime is 42454999. The next prime is 42455003. The reversal of 42455000 is 55424.

It is a happy number.

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 (42455003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34394 + ... + 35606.

It is an arithmetic number, because the mean of its divisors is an integer number (1422201).

Almost surely, 242455000 is an apocalyptic number.

42455000 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 42455000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56888040).

42455000 is an abundant number, since it is smaller than the sum of its proper divisors (71321080).

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

42455000 is a wasteful number, since it uses less digits than its factorization.

42455000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 42455000 is about 6515.7501486782. The cubic root of 42455000 is about 348.8533906361.

The spelling of 42455000 in words is "forty-two million, four hundred fifty-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 625 700 875 1000 1213 1250 1400 1750 2426 2500 3500 4375 4852 5000 6065 7000 8491 8750 9704 12130 16982 17500 24260 30325 33964 35000 42455 48520 60650 67928 84910 121300 151625 169820 212275 242600 303250 339640 424550 606500 758125 849100 1061375 1213000 1516250 1698200 2122750 3032500 4245500 5306875 6065000 8491000 10613750 21227500 42455000