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2024427132 = 22327133111987
BaseRepresentation
bin111100010101010…
…0100111001111100
312020002022112221200
41320222210321330
513121223132012
6532514255500
7101111226630
oct17052447174
95202275850
102024427132
11949811082
12485b87590
1326354a8a0
14152c16dc0
15bcada3dc
hex78aa4e7c

2024427132 has 144 divisors (see below), whose sum is σ = 6321649152. Its totient is φ = 531930240.

The previous prime is 2024427109. The next prime is 2024427137. The reversal of 2024427132 is 2317244202.

2024427132 is a `hidden beast` number, since 202 + 4 + 427 + 1 + 32 = 666.

It is a super-3 number, since 3×20244271323 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2024427096 and 2024427105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2024427137) 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, 1017843 + ... + 1019829.

Almost surely, 22024427132 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 2024427132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3160824576).

2024427132 is an abundant number, since it is smaller than the sum of its proper divisors (4297222020).

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

2024427132 is a wasteful number, since it uses less digits than its factorization.

2024427132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2024427132 is about 44993.6343497611. The cubic root of 2024427132 is about 1265.0296840873.

The spelling of 2024427132 in words is "two billion, twenty-four million, four hundred twenty-seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 311 364 468 546 622 819 933 1092 1244 1638 1866 1987 2177 2799 3276 3732 3974 4043 4354 5598 5961 6531 7948 8086 8708 11196 11922 12129 13062 13909 16172 17883 19593 23844 24258 25831 26124 27818 28301 35766 36387 39186 41727 48516 51662 55636 56602 71532 72774 77493 78372 83454 84903 103324 113204 125181 145548 154986 166908 169806 180817 232479 250362 254709 309972 339612 361634 464958 500724 509418 542451 617957 723268 929916 1018836 1084902 1235914 1627353 1853871 2169804 2471828 3254706 3707742 4325699 5561613 6509412 7415484 8033441 8651398 11123226 12977097 16066882 17302796 22246452 24100323 25954194 32133764 38931291 48200646 51908388 56234087 72300969 77862582 96401292 112468174 144601938 155725164 168702261 224936348 289203876 337404522 506106783 674809044 1012213566 2024427132