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42090460 = 22523372473
BaseRepresentation
bin1010000010001…
…1111111011100
32221012102020221
42200203333130
541233343320
64102051124
71020522466
oct240437734
987172227
1042090460
1121839205
1212119aa4
1389491c9
145839136
153a663aa
hex2823fdc

42090460 has 48 divisors (see below), whose sum is σ = 94764096. Its totient is φ = 15662592.

The previous prime is 42090457. The next prime is 42090463. The reversal of 42090460 is 6409024.

It is an interprime number because it is at equal distance from previous prime (42090457) and next prime (42090463).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42090463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15784 + ... + 18256.

It is an arithmetic number, because the mean of its divisors is an integer number (1974252).

Almost surely, 242090460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42090460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47382048).

42090460 is an abundant number, since it is smaller than the sum of its proper divisors (52673636).

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

42090460 is a wasteful number, since it uses less digits than its factorization.

42090460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2542 (or 2540 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 42090460 is about 6487.7160850333. The cubic root of 42090460 is about 347.8520421800.

Adding to 42090460 its reverse (6409024), we get a palindrome (48499484).

The spelling of 42090460 in words is "forty-two million, ninety thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 23 37 46 74 92 115 148 185 230 370 460 740 851 1702 2473 3404 4255 4946 8510 9892 12365 17020 24730 49460 56879 91501 113758 183002 227516 284395 366004 457505 568790 915010 1137580 1830020 2104523 4209046 8418092 10522615 21045230 42090460