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42250320 = 24325783101
BaseRepresentation
bin1010000100101…
…1000001010000
32221111112112200
42201023001100
541304002240
64105323200
71022056530
oct241130120
987445480
1042250320
1121938322
1212196500
1389a3bb8
14587b4c0
153a98930
hex284b050

42250320 has 240 divisors, whose sum is σ = 165739392. Its totient is φ = 9446400.

The previous prime is 42250279. The next prime is 42250331. The reversal of 42250320 is 2305224.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 42250293 and 42250302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 418270 + ... + 418370.

Almost surely, 242250320 is an apocalyptic number.

42250320 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 42250320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82869696).

42250320 is an abundant number, since it is smaller than the sum of its proper divisors (123489072).

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

42250320 is a wasteful number, since it uses less digits than its factorization.

42250320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 201 counting only the distinct ones).

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

The square root of 42250320 is about 6500.0246153380. The cubic root of 42250320 is about 348.2918677064.

Adding to 42250320 its reverse (2305224), we get a palindrome (44555544).

The spelling of 42250320 in words is "forty-two million, two hundred fifty thousand, three hundred twenty".