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42721182 = 2347101373
BaseRepresentation
bin1010001011110…
…1111110011110
32222101110110000
42202331332132
541414034212
64123355130
71026060360
oct242757636
988343400
1042721182
112212a069
1212382aa6
138b0a30a
145960d30
153b3d1dc
hex28bdf9e

42721182 has 80 divisors (see below), whose sum is σ = 110781792. Its totient is φ = 12052800.

The previous prime is 42721181. The next prime is 42721183. The reversal of 42721182 is 28112724.

It is an interprime number because it is at equal distance from previous prime (42721181) and next prime (42721183).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42721181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 114348 + ... + 114720.

Almost surely, 242721182 is an apocalyptic number.

42721182 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42721182, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55390896).

42721182 is an abundant number, since it is smaller than the sum of its proper divisors (68060610).

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

42721182 is a wasteful number, since it uses less digits than its factorization.

42721182 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 486 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 42721182 is about 6536.1442762534. The cubic root of 42721182 is about 349.5809460873.

It can be divided in two parts, 427 and 21182, that added together give a square (21609 = 1472).

The spelling of 42721182 in words is "forty-two million, seven hundred twenty-one thousand, one hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 101 126 162 189 202 303 373 378 567 606 707 746 909 1119 1134 1414 1818 2121 2238 2611 2727 3357 4242 5222 5454 6363 6714 7833 8181 10071 12726 15666 16362 19089 20142 23499 30213 37673 38178 46998 57267 60426 70497 75346 113019 114534 140994 211491 226038 263711 339057 422982 527422 678114 791133 1017171 1582266 2034342 2373399 3051513 4746798 6103026 7120197 14240394 21360591 42721182