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1642746042 = 233719228731
BaseRepresentation
bin110000111101010…
…0101000010111010
311020111010010221000
41201322211002322
511331020333132
6431001425430
755465053030
oct14172450272
94214103830
101642746042
11773318463
1239a19b276
132024514a2
14118260550
159934487c
hex61ea50ba

1642746042 has 64 divisors (see below), whose sum is σ = 4391654400. Its totient is φ = 444651120.

The previous prime is 1642746041. The next prime is 1642746097. The reversal of 1642746042 is 2406472461.

1642746042 is a `hidden beast` number, since 1 + 6 + 42 + 7 + 4 + 604 + 2 = 666.

It is a super-2 number, since 2×16427460422 = 5397229117013331528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1642745988 and 1642746006.

It is not an unprimeable number, because it can be changed into a prime (1642746041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107184 + ... + 121547.

It is an arithmetic number, because the mean of its divisors is an integer number (68619600).

Almost surely, 21642746042 is an apocalyptic number.

1642746042 is an abundant number, since it is smaller than the sum of its proper divisors (2748908358).

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

1642746042 is a wasteful number, since it uses less digits than its factorization.

1642746042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228768 (or 228762 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 1642746042 is about 40530.8036189760. The cubic root of 1642746042 is about 1179.9315391671.

The spelling of 1642746042 in words is "one billion, six hundred forty-two million, seven hundred forty-six thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 171 189 266 342 378 399 513 798 1026 1197 2394 3591 7182 228731 457462 686193 1372386 1601117 2058579 3202234 4117158 4345889 4803351 6175737 8691778 9606702 12351474 13037667 14410053 26075334 28820106 30421223 39113001 43230159 60842446 78226002 86460318 91263669 117339003 182527338 234678006 273791007 547582014 821373021 1642746042