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438707142 = 232193293431
BaseRepresentation
bin11010001001100…
…010001111000110
31010120111122001200
4122021202033012
51344302112032
6111311003330
713604643366
oct3211421706
91116448050
10438707142
11205703195
12102b09546
136cb74833
144239c9a6
15287ac47c
hex1a2623c6

438707142 has 48 divisors (see below), whose sum is σ = 960942528. Its totient is φ = 144645120.

The previous prime is 438707123. The next prime is 438707147. The reversal of 438707142 is 241707834.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 438707097 and 438707106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438707147) by changing a digit.

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, 1017667 + ... + 1018097.

It is an arithmetic number, because the mean of its divisors is an integer number (20019636).

Almost surely, 2438707142 is an apocalyptic number.

438707142 is an abundant number, since it is smaller than the sum of its proper divisors (522235386).

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

438707142 is a wasteful number, since it uses less digits than its factorization.

438707142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 438707142 is about 20945.3369989599. The cubic root of 438707142 is about 759.8448101873.

The spelling of 438707142 in words is "four hundred thirty-eight million, seven hundred seven thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 193 293 386 431 579 586 862 879 1158 1293 1737 1758 2586 2637 3474 3879 5274 7758 56549 83183 113098 126283 166366 169647 249549 252566 339294 378849 499098 508941 748647 757698 1017882 1136547 1497294 2273094 24372619 48745238 73117857 146235714 219353571 438707142