Search a number
-
+
3886142442 = 2371341672591
BaseRepresentation
bin1110011110100001…
…1101001111101010
3101000211110111020120
43213220131033222
530424323024232
61441341304110
7165205444230
oct34750351752
911024414216
103886142442
111714698376
12905565036
1349c168590
1428c196950
1517b28492c
hexe7a1d3ea

3886142442 has 128 divisors (see below), whose sum is σ = 9949298688. Its totient is φ = 984614400.

The previous prime is 3886142431. The next prime is 3886142443. The reversal of 3886142442 is 2442416883.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3886142394 and 3886142403.

It is not an unprimeable number, because it can be changed into a prime (3886142443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1498567 + ... + 1501157.

It is an arithmetic number, because the mean of its divisors is an integer number (77728896).

Almost surely, 23886142442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3886142442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4974649344).

3886142442 is an abundant number, since it is smaller than the sum of its proper divisors (6063156246).

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

3886142442 is a wasteful number, since it uses less digits than its factorization.

3886142442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724.

The product of its digits is 294912, while the sum is 42.

The square root of 3886142442 is about 62338.9319927764. The cubic root of 3886142442 is about 1572.1943758960.

The spelling of 3886142442 in words is "three billion, eight hundred eighty-six million, one hundred forty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 41 42 67 78 82 91 123 134 182 201 246 273 287 402 469 533 546 574 861 871 938 1066 1407 1599 1722 1742 2591 2613 2747 2814 3198 3731 5182 5226 5494 6097 7462 7773 8241 11193 12194 15546 16482 18137 18291 19229 22386 33683 35711 36274 36582 38458 54411 57687 67366 71422 101049 106231 107133 108822 115374 173597 202098 212462 214266 235781 249977 318693 347194 471562 499954 520791 637386 707343 743617 749931 1041582 1215179 1381003 1414686 1487234 1499862 2230851 2256761 2430358 2762006 3645537 4143009 4461702 4513522 6770283 7117477 7291074 8286018 9667021 13540566 14234954 15797327 19334042 21352431 29001063 31594654 42704862 47391981 49822339 58002126 92527201 94783962 99644678 149467017 185054402 277581603 298934034 555163206 647690407 1295380814 1943071221 3886142442