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42463050 = 23527371093
BaseRepresentation
bin1010000111111…
…0111101001010
32221220100100120
42201332331022
541332304200
64114044110
71023633660
oct241767512
987810316
1042463050
1121a73133
1212279636
138a49986
1458d4c30
153adb9a0
hex287ef4a

42463050 has 96 divisors (see below), whose sum is σ = 123718272. Its totient is φ = 9434880.

The previous prime is 42462983. The next prime is 42463051. The reversal of 42463050 is 5036424.

42463050 is nontrivially palindromic in base 4.

It is a super-2 number, since 2×424630502 = 3606221230605000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42463050.

It is not an unprimeable number, because it can be changed into a prime (42463051) 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, 38304 + ... + 39396.

It is an arithmetic number, because the mean of its divisors is an integer number (1288732).

Almost surely, 242463050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42463050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61859136).

42463050 is an abundant number, since it is smaller than the sum of its proper divisors (81255222).

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

42463050 is a wasteful number, since it uses less digits than its factorization.

42463050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1147 counting only the distinct ones).

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

The square root of 42463050 is about 6516.3678533367. The cubic root of 42463050 is about 348.8754382341.

Adding to 42463050 its reverse (5036424), we get a palindrome (47499474).

It can be divided in two parts, 42 and 463050, that multiplied together give a square (19448100 = 44102).

The spelling of 42463050 in words is "forty-two million, four hundred sixty-three thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 37 42 50 70 74 75 105 111 150 175 185 210 222 259 350 370 518 525 555 777 925 1050 1093 1110 1295 1554 1850 2186 2590 2775 3279 3885 5465 5550 6475 6558 7651 7770 10930 12950 15302 16395 19425 22953 27325 32790 38255 38850 40441 45906 54650 76510 80882 81975 114765 121323 163950 191275 202205 229530 242646 283087 382550 404410 566174 573825 606615 849261 1011025 1147650 1213230 1415435 1698522 2022050 2830870 3033075 4246305 6066150 7077175 8492610 14154350 21231525 42463050