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42015040 = 265131297
BaseRepresentation
bin1010000001000…
…1100101000000
32221001120210121
42200101211000
541223440130
64100310024
71020056554
oct240214500
987046717
1042015040
1121797581
12120a2314
138920a92
145819864
153a4dd7a
hex2811940

42015040 has 28 divisors (see below), whose sum is σ = 100049076. Its totient is φ = 16805888.

The previous prime is 42015019. The next prime is 42015047. The reversal of 42015040 is 4051024.

It can be written as a sum of positive squares in 2 ways, for example, as 9388096 + 32626944 = 3064^2 + 5712^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42015047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65329 + ... + 65968.

Almost surely, 242015040 is an apocalyptic number.

42015040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42015040 is an abundant number, since it is smaller than the sum of its proper divisors (58034036).

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

42015040 is a wasteful number, since it uses less digits than its factorization.

42015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131314 (or 131304 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 42015040 is about 6481.9009557382. The cubic root of 42015040 is about 347.6441511566.

Adding to 42015040 its reverse (4051024), we get a palindrome (46066064).

The spelling of 42015040 in words is "forty-two million, fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 131297 262594 525188 656485 1050376 1312970 2100752 2625940 4201504 5251880 8403008 10503760 21007520 42015040