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42460350 = 23522943227
BaseRepresentation
bin1010000111111…
…0010010111110
32221220012122120
42201332102332
541332212400
64114023410
71023623052
oct241762276
987805576
1042460350
1121a710a9
1212277b66
138a4868a
1458d3c62
153adaca0
hex287e4be

42460350 has 96 divisors (see below), whose sum is σ = 111957120. Its totient is φ = 10631040.

The previous prime is 42460337. The next prime is 42460357. The reversal of 42460350 is 5306424.

It is a self number, because there is not a number n which added to its sum of digits gives 42460350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42460357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186937 + ... + 187163.

It is an arithmetic number, because the mean of its divisors is an integer number (1166220).

Almost surely, 242460350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42460350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55978560).

42460350 is an abundant number, since it is smaller than the sum of its proper divisors (69496770).

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

42460350 is a wasteful number, since it uses less digits than its factorization.

42460350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 42460350 is about 6516.1606794185. The cubic root of 42460350 is about 348.8680436982.

Adding to 42460350 its reverse (5306424), we get a palindrome (47766774).

The spelling of 42460350 in words is "forty-two million, four hundred sixty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 43 50 58 75 86 87 129 145 150 174 215 227 258 290 430 435 454 645 681 725 870 1075 1135 1247 1290 1362 1450 2150 2175 2270 2494 3225 3405 3741 4350 5675 6235 6450 6583 6810 7482 9761 11350 12470 13166 17025 18705 19522 19749 29283 31175 32915 34050 37410 39498 48805 58566 62350 65830 93525 97610 98745 146415 164575 187050 197490 244025 283069 292830 329150 488050 493725 566138 732075 849207 987450 1415345 1464150 1698414 2830690 4246035 7076725 8492070 14153450 21230175 42460350