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42050000 = 2455292
BaseRepresentation
bin1010000001101…
…0000111010000
32221010100202102
42200122013100
541231100000
64101135532
71020263516
oct240320720
987110672
1042050000
1121810873
12120ba5a8
138933975
1458284b6
153a593d5
hex281a1d0

42050000 has 90 divisors (see below), whose sum is σ = 105465906. Its totient is φ = 16240000.

The previous prime is 42049991. The next prime is 42050039. The reversal of 42050000 is 5024.

Adding to 42050000 its reverse (5024), we get a palindrome (42055024).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 41886784 + 163216 = 6472^2 + 404^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1449986 + ... + 1450014.

Almost surely, 242050000 is an apocalyptic number.

42050000 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 42050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52732953).

42050000 is an abundant number, since it is smaller than the sum of its proper divisors (63415906).

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

42050000 is an frugal number, since it uses more digits than its factorization.

42050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 42050000 is about 6484.5971347494. The cubic root of 42050000 is about 347.7405473530.

The spelling of 42050000 in words is "forty-two million, fifty thousand", and thus it is an eban number.

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 500 580 625 725 841 1000 1160 1250 1450 1682 2000 2320 2500 2900 3125 3364 3625 4205 5000 5800 6250 6728 7250 8410 10000 11600 12500 13456 14500 16820 18125 21025 25000 29000 33640 36250 42050 50000 58000 67280 72500 84100 90625 105125 145000 168200 181250 210250 290000 336400 362500 420500 525625 725000 841000 1051250 1450000 1682000 2102500 2628125 4205000 5256250 8410000 10512500 21025000 42050000