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138436242 = 23719283613
BaseRepresentation
bin10000100000001…
…01111010010010
3100122111021211020
420100011322102
5240414424432
621423100310
73300455130
oct1020057222
9318437736
10138436242
117116421a
123a441696
13228b0649
1414558750
15c24822c
hex8405e92

138436242 has 64 divisors (see below), whose sum is σ = 334801920. Its totient is φ = 37278144.

The previous prime is 138436237. The next prime is 138436283. The reversal of 138436242 is 242634831.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225528 + ... + 226140.

It is an arithmetic number, because the mean of its divisors is an integer number (5231280).

Almost surely, 2138436242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138436242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167400960).

138436242 is an abundant number, since it is smaller than the sum of its proper divisors (196365678).

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

138436242 is a wasteful number, since it uses less digits than its factorization.

138436242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927.

The product of its digits is 27648, while the sum is 33.

The square root of 138436242 is about 11765.8931662666. The cubic root of 138436242 is about 517.3088803930.

The spelling of 138436242 in words is "one hundred thirty-eight million, four hundred thirty-six thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 283 399 566 613 798 849 1226 1698 1839 1981 3678 3962 4291 5377 5943 8582 10754 11647 11886 12873 16131 23294 25746 32262 34941 37639 69882 75278 81529 112917 163058 173479 225834 244587 346958 489174 520437 1040874 1214353 2428706 3296101 3643059 6592202 7286118 9888303 19776606 23072707 46145414 69218121 138436242