Search a number
-
+
428242950 = 23452412579
BaseRepresentation
bin11001100001100…
…111100000000110
31002211210222220000
4121201213200012
51334112233300
6110254422130
713420001502
oct3141474006
91084728800
10428242950
111aa8062a3
12bb501946
136a94c8c5
1440c37302
15278e1c00
hex19867806

428242950 has 120 divisors (see below), whose sum is σ = 1219375080. Its totient is φ = 111369600.

The previous prime is 428242949. The next prime is 428242951. The reversal of 428242950 is 59242824.

It is an interprime number because it is at equal distance from previous prime (428242949) and next prime (428242951).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428242951) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 164761 + ... + 167339.

It is an arithmetic number, because the mean of its divisors is an integer number (10161459).

Almost surely, 2428242950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428242950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609687540).

428242950 is an abundant number, since it is smaller than the sum of its proper divisors (791132130).

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

428242950 is a wasteful number, since it uses less digits than its factorization.

428242950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644 (or 2630 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 428242950 is about 20694.0317483085. The cubic root of 428242950 is about 753.7547708913.

The spelling of 428242950 in words is "four hundred twenty-eight million, two hundred forty-two thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 41 45 50 54 75 81 82 90 123 135 150 162 205 225 246 270 369 405 410 450 615 675 738 810 1025 1107 1230 1350 1845 2025 2050 2214 2579 3075 3321 3690 4050 5158 5535 6150 6642 7737 9225 11070 12895 15474 16605 18450 23211 25790 27675 33210 38685 46422 55350 64475 69633 77370 83025 105739 116055 128950 139266 166050 193425 208899 211478 232110 317217 348165 386850 417798 528695 580275 634434 696330 951651 1044495 1057390 1160550 1586085 1740825 1903302 2088990 2643475 2854953 3172170 3481650 4758255 5222475 5286950 5709906 7930425 8564859 9516510 10444950 14274765 15860850 17129718 23791275 28549530 42824295 47582550 71373825 85648590 142747650 214121475 428242950