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42385240 = 2352961599
BaseRepresentation
bin1010000110101…
…1111101011000
32221202101121201
42201223331120
541322311430
64112243544
71023161062
oct241537530
987671551
1042385240
1121a1a727
12122405b4
138a20431
1458b4732
153ac38ca
hex286bf58

42385240 has 64 divisors (see below), whose sum is σ = 100440000. Its totient is φ = 16074240.

The previous prime is 42385237. The next prime is 42385241. The reversal of 42385240 is 4258324.

It is a junction number, because it is equal to n+sod(n) for n = 42385199 and 42385208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42385241) 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, 70461 + ... + 71059.

It is an arithmetic number, because the mean of its divisors is an integer number (1569375).

Almost surely, 242385240 is an apocalyptic number.

42385240 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 42385240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50220000).

42385240 is an abundant number, since it is smaller than the sum of its proper divisors (58054760).

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

42385240 is a wasteful number, since it uses less digits than its factorization.

42385240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 42385240 is about 6510.3947652965. The cubic root of 42385240 is about 348.6622128874.

The spelling of 42385240 in words is "forty-two million, three hundred eighty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 61 116 122 145 232 244 290 305 488 580 599 610 1160 1198 1220 1769 2396 2440 2995 3538 4792 5990 7076 8845 11980 14152 17371 17690 23960 34742 35380 36539 69484 70760 73078 86855 138968 146156 173710 182695 292312 347420 365390 694840 730780 1059631 1461560 2119262 4238524 5298155 8477048 10596310 21192620 42385240