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42050040 = 23351918443
BaseRepresentation
bin1010000001101…
…0000111111000
32221010100210220
42200122013320
541231100130
64101140040
71020263604
oct240320770
987110726
1042050040
11218108aa
12120ba620
1389339a6
145828504
153a59410
hex281a1f8

42050040 has 64 divisors (see below), whose sum is σ = 132796800. Its totient is φ = 10622592.

The previous prime is 42050039. The next prime is 42050053. The reversal of 42050040 is 4005024.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6942 + ... + 11501.

It is an arithmetic number, because the mean of its divisors is an integer number (2074950).

Almost surely, 242050040 is an apocalyptic number.

42050040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42050040 is an abundant number, since it is smaller than the sum of its proper divisors (90746760).

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

42050040 is a wasteful number, since it uses less digits than its factorization.

42050040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18476 (or 18472 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 42050040 is about 6484.6002189803. The cubic root of 42050040 is about 347.7406576155.

Adding to 42050040 its reverse (4005024), we get a palindrome (46055064).

The spelling of 42050040 in words is "forty-two million, fifty thousand, forty", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 18443 36886 55329 73772 92215 110658 147544 184430 221316 276645 350417 368860 442632 553290 700834 737720 1051251 1106580 1401668 1752085 2102502 2213160 2803336 3504170 4205004 5256255 7008340 8410008 10512510 14016680 21025020 42050040