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42009219 = 3372113281
BaseRepresentation
bin1010000001000…
…0001010000011
32221001021211000
42200100022003
541223243334
64100223043
71020033600
oct240201203
987037730
1042009219
112179316a
121209aa83
13891b235
1458176a7
153a4c299
hex2810283

42009219 has 48 divisors (see below), whose sum is σ = 73297440. Its totient is φ = 23708160.

The previous prime is 42009203. The next prime is 42009221. The reversal of 42009219 is 91290024.

It is not a de Polignac number, because 42009219 - 24 = 42009203 is a prime.

It is a super-2 number, since 2×420092192 = 3529548961979922, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 42009192 and 42009201.

It is not an unprimeable number, because it can be changed into a prime (42004219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149359 + ... + 149639.

It is an arithmetic number, because the mean of its divisors is an integer number (1527030).

Almost surely, 242009219 is an apocalyptic number.

42009219 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

42009219 is a deficient number, since it is larger than the sum of its proper divisors (31288221).

42009219 is a wasteful number, since it uses less digits than its factorization.

42009219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 42009219 is about 6481.4519206733. The cubic root of 42009219 is about 347.6280955563.

The spelling of 42009219 in words is "forty-two million, nine thousand, two hundred nineteen".

Divisors: 1 3 7 9 21 27 49 63 113 147 189 281 339 441 791 843 1017 1323 1967 2373 2529 3051 5537 5901 7119 7587 13769 16611 17703 21357 31753 41307 49833 53109 95259 123921 149499 222271 285777 371763 666813 857331 1555897 2000439 4667691 6001317 14003073 42009219