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42025032 = 2332783383
BaseRepresentation
bin1010000001010…
…0000001001000
32221002002111200
42200110001020
541224300112
64100424200
71020130650
oct240240110
987062450
1042025032
11217a4035
12120a8060
1389254aa
14581d360
153a51cdc
hex2814048

42025032 has 48 divisors (see below), whose sum is σ = 130079040. Its totient is φ = 12007008.

The previous prime is 42025001. The next prime is 42025069. The reversal of 42025032 is 23052024.

It is a super-2 number, since 2×420250322 = 3532206629202048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42024996 and 42025014.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41188 + ... + 42195.

It is an arithmetic number, because the mean of its divisors is an integer number (2709980).

Almost surely, 242025032 is an apocalyptic number.

42025032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42025032 is an abundant number, since it is smaller than the sum of its proper divisors (88054008).

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

42025032 is a wasteful number, since it uses less digits than its factorization.

42025032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83402 (or 83395 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 42025032 is about 6482.6716714639. The cubic root of 42025032 is about 347.6717078365.

Adding to 42025032 its reverse (23052024), we get a palindrome (65077056).

It can be divided in two parts, 420 and 25032, that added together give a palindrome (25452).

The spelling of 42025032 in words is "forty-two million, twenty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 83383 166766 250149 333532 500298 583681 667064 750447 1000596 1167362 1500894 1751043 2001192 2334724 3001788 3502086 4669448 5253129 6003576 7004172 10506258 14008344 21012516 42025032