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2042000532 = 22321113795021
BaseRepresentation
bin111100110110110…
…0111010010010100
312021022101101010100
41321231213102110
513140223004112
6534343054100
7101413501215
oct17155472224
95238341110
102042000532
11958724250
1248ba41330
13267091650
141552ad40c
15be40c2dc
hex79b67494

2042000532 has 144 divisors (see below), whose sum is σ = 6142106880. Its totient is φ = 563846400.

The previous prime is 2042000507. The next prime is 2042000533. The reversal of 2042000532 is 2350002402.

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 (2042000533) 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 47 ways as a sum of consecutive naturals, for example, 404182 + ... + 409202.

It is an arithmetic number, because the mean of its divisors is an integer number (42653520).

Almost surely, 22042000532 is an apocalyptic number.

2042000532 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a pronic number, being equal to 45188×45189.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042000532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071053440).

2042000532 is an abundant number, since it is smaller than the sum of its proper divisors (4100106348).

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

2042000532 is a wasteful number, since it uses less digits than its factorization.

2042000532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5134 (or 5129 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2042000532 is about 45188.4999972338. The cubic root of 2042000532 is about 1268.6795816127.

Adding to 2042000532 its reverse (2350002402), we get a palindrome (4392002934).

The spelling of 2042000532 in words is "two billion, forty-two million, five hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 79 99 117 132 143 156 158 198 234 237 286 316 396 429 468 474 572 711 858 869 948 1027 1287 1422 1716 1738 2054 2574 2607 2844 3081 3476 4108 5021 5148 5214 6162 7821 9243 10042 10428 11297 12324 15063 15642 18486 20084 22594 30126 31284 33891 36972 45188 45189 55231 60252 65273 67782 90378 101673 110462 130546 135564 165693 180756 195819 203346 220924 261092 331386 391638 396659 406692 497079 587457 662772 718003 783276 793318 994158 1174914 1189977 1436006 1586636 1988316 2154009 2349828 2379954 2872012 3569931 4308018 4363249 4759908 5156567 6462027 7139862 8616036 8726498 10313134 12924054 13089747 14279724 15469701 17452996 20626268 25848108 26179494 30939402 39269241 46409103 52358988 56722237 61878804 78538482 92818206 113444474 157076964 170166711 185636412 226888948 340333422 510500133 680666844 1021000266 2042000532