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442423240 = 23576125903
BaseRepresentation
bin11010010111101…
…101011111001000
31010211111102120221
4122113231133020
51401230020430
6111522355424
713651351450
oct3227553710
91124442527
10442423240
11207811146
121041bbb74
13708760cc
1442a88d60
1528c9357a
hex1a5ed7c8

442423240 has 64 divisors (see below), whose sum is σ = 1156354560. Its totient is φ = 149195520.

The previous prime is 442423237. The next prime is 442423253. The reversal of 442423240 is 42324244.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4129 + ... + 30031.

It is an arithmetic number, because the mean of its divisors is an integer number (18068040).

Almost surely, 2442423240 is an apocalyptic number.

442423240 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 442423240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578177280).

442423240 is an abundant number, since it is smaller than the sum of its proper divisors (713931320).

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

442423240 is a wasteful number, since it uses less digits than its factorization.

442423240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25982 (or 25978 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

The square root of 442423240 is about 21033.8593700728. The cubic root of 442423240 is about 761.9842194935.

Adding to 442423240 its reverse (42324244), we get a palindrome (484747484).

The spelling of 442423240 in words is "four hundred forty-two million, four hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 61 70 122 140 244 280 305 427 488 610 854 1220 1708 2135 2440 3416 4270 8540 17080 25903 51806 103612 129515 181321 207224 259030 362642 518060 725284 906605 1036120 1450568 1580083 1813210 3160166 3626420 6320332 7252840 7900415 11060581 12640664 15800830 22121162 31601660 44242324 55302905 63203320 88484648 110605810 221211620 442423240