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2424132009 = 331343612633
BaseRepresentation
bin1001000001111101…
…0101000110101001
320020221102122222000
42100133111012221
514431034211014
61040313321213
7114033532155
oct22037250651
96227378860
102424132009
1110343a5292
12577a06209
132c82b7a50
1418dd42065
15e2c41509
hex907d51a9

2424132009 has 64 divisors (see below), whose sum is σ = 4023909120. Its totient is φ = 1432650240.

The previous prime is 2424132001. The next prime is 2424132037. The reversal of 2424132009 is 9002314242.

2424132009 is a `hidden beast` number, since 2 + 42 + 413 + 200 + 9 = 666.

It is not a de Polignac number, because 2424132009 - 23 = 2424132001 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (2424132001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 919357 + ... + 921989.

It is an arithmetic number, because the mean of its divisors is an integer number (62873580).

Almost surely, 22424132009 is an apocalyptic number.

It is an amenable number.

2424132009 is a deficient number, since it is larger than the sum of its proper divisors (1599777111).

2424132009 is a wasteful number, since it uses less digits than its factorization.

2424132009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2424132009 is about 49235.4751068780. The cubic root of 2424132009 is about 1343.3383771167.

The spelling of 2424132009 in words is "two billion, four hundred twenty-four million, one hundred thirty-two thousand, nine".

Divisors: 1 3 9 13 27 39 43 61 117 129 183 351 387 549 559 793 1161 1647 1677 2379 2623 2633 5031 7137 7869 7899 15093 21411 23607 23697 34099 34229 70821 71091 102297 102687 113219 160613 306891 308061 339657 481839 920673 924183 1018971 1445517 1471847 2087969 3056913 4336551 4415541 6263907 6906359 13246623 18791721 20719077 39739869 56375163 62157231 89782667 186471693 269348001 808044003 2424132009