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42455500 = 22531941109
BaseRepresentation
bin1010000111110…
…1000111001100
32221212221222221
42201331013030
541332034000
64113545124
71023602653
oct241750714
987787887
1042455500
1121a6849a
12122751a4
138a463c9
1458d219a
153ad961a
hex287d1cc

42455500 has 96 divisors (see below), whose sum is σ = 100900800. Its totient is φ = 15552000.

The previous prime is 42455489. The next prime is 42455503. The reversal of 42455500 is 555424.

42455500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (42455503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389446 + ... + 389554.

It is an arithmetic number, because the mean of its divisors is an integer number (1051050).

Almost surely, 242455500 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 42455500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50450400).

42455500 is an abundant number, since it is smaller than the sum of its proper divisors (58445300).

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

42455500 is a wasteful number, since it uses less digits than its factorization.

42455500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

The square root of 42455500 is about 6515.7885171328. The cubic root of 42455500 is about 348.8547601333.

The spelling of 42455500 in words is "forty-two million, four hundred fifty-five thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 38 41 50 76 82 95 100 109 125 164 190 205 218 250 380 410 436 475 500 545 779 820 950 1025 1090 1558 1900 2050 2071 2180 2375 2725 3116 3895 4100 4142 4469 4750 5125 5450 7790 8284 8938 9500 10250 10355 10900 13625 15580 17876 19475 20500 20710 22345 27250 38950 41420 44690 51775 54500 77900 84911 89380 97375 103550 111725 169822 194750 207100 223450 258875 339644 389500 424555 446900 517750 558625 849110 1035500 1117250 1698220 2122775 2234500 4245550 8491100 10613875 21227750 42455500