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642133890 = 232537192833
BaseRepresentation
bin100110010001100…
…010111110000010
31122202021210002200
4212101202332002
52303341241030
6143415054030
721625022316
oct4621427602
91582253080
10642133890
112aa516772
1215b071316
13a305b7a8
14613d3b46
153b591d60
hex26462f82

642133890 has 48 divisors (see below), whose sum is σ = 1714679928. Its totient is φ = 166606848.

The previous prime is 642133859. The next prime is 642133909. The reversal of 642133890 is 98331246.

642133890 is a `hidden beast` number, since 64 + 213 + 389 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 424895769 + 217238121 = 20613^2 + 14739^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93087 + ... + 99746.

Almost surely, 2642133890 is an apocalyptic number.

642133890 is an abundant number, since it is smaller than the sum of its proper divisors (1072546038).

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

642133890 is a wasteful number, since it uses less digits than its factorization.

642133890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192883 (or 192880 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 642133890 is about 25340.3608893007. The cubic root of 642133890 is about 862.7305898900.

The spelling of 642133890 in words is "six hundred forty-two million, one hundred thirty-three thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 192833 385666 578499 964165 1156998 1735497 1928330 2892495 3470994 5784990 7134821 8677485 14269642 17354970 21404463 35674105 42808926 64213389 71348210 107022315 128426778 214044630 321066945 642133890