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42040000 = 26541051
BaseRepresentation
bin1010000001011…
…1101011000000
32221002212001001
42200113223000
541230240000
64101021344
71020222412
oct240275300
987085031
1042040000
1121804302
12120b4854
13892c252
1458249b2
153a5646a
hex2817ac0

42040000 has 70 divisors (see below), whose sum is σ = 104344724. Its totient is φ = 16800000.

The previous prime is 42039967. The next prime is 42040007. The reversal of 42040000 is 4024.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (42040007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39475 + ... + 40525.

Almost surely, 242040000 is an apocalyptic number.

42040000 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 42040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52172362).

42040000 is an abundant number, since it is smaller than the sum of its proper divisors (62304724).

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

42040000 is an equidigital number, since it uses as much as digits as its factorization.

42040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 42040000 is about 6483.8260309789. The cubic root of 42040000 is about 347.7129795276.

Adding to 42040000 its reverse (4024), we get a palindrome (42044024).

The spelling of 42040000 in words is "forty-two million, forty thousand", and thus it is an eban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1051 1250 1600 2000 2102 2500 4000 4204 5000 5255 8000 8408 10000 10510 16816 20000 21020 26275 33632 40000 42040 52550 67264 84080 105100 131375 168160 210200 262750 336320 420400 525500 656875 840800 1051000 1313750 1681600 2102000 2627500 4204000 5255000 8408000 10510000 21020000 42040000