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42051150 = 235523461
BaseRepresentation
bin1010000001101…
…0011001001110
32221010102100000
42200122121032
541231114100
64101145130
71020300051
oct240323116
987112300
1042051150
1121811719
12120bb1a6
13893434b
145828a98
153a59900
hex281a64e

42051150 has 72 divisors (see below), whose sum is σ = 117195624. Its totient is φ = 11210400.

The previous prime is 42051091. The next prime is 42051151. The reversal of 42051150 is 5115024.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42051151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10420 + ... + 13880.

It is an arithmetic number, because the mean of its divisors is an integer number (1627717).

Almost surely, 242051150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42051150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58597812).

42051150 is an abundant number, since it is smaller than the sum of its proper divisors (75144474).

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

42051150 is a wasteful number, since it uses less digits than its factorization.

42051150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3488 (or 3471 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 42051150 is about 6484.6858058043. The cubic root of 42051150 is about 347.7437173727.

Adding to 42051150 its reverse (5115024), we get a palindrome (47166174).

The spelling of 42051150 in words is "forty-two million, fifty-one thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 243 270 405 450 486 675 810 1215 1350 2025 2430 3461 4050 6075 6922 10383 12150 17305 20766 31149 34610 51915 62298 86525 93447 103830 155745 173050 186894 259575 280341 311490 467235 519150 560682 778725 841023 934470 1401705 1557450 1682046 2336175 2803410 4205115 4672350 7008525 8410230 14017050 21025575 42051150