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424135950 = 235271492711
BaseRepresentation
bin11001010001111…
…100110100001110
31002120002100010220
4121101330310032
51332034322300
6110030412210
713340044650
oct3121746416
91076070126
10424135950
111a8460687
12ba061066
1369b42424
14404886d0
152737eda0
hex1947cd0e

424135950 has 96 divisors (see below), whose sum is σ = 1210636800. Its totient is φ = 96259200.

The previous prime is 424135927. The next prime is 424135951. The reversal of 424135950 is 59531424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424135951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155095 + ... + 157805.

It is an arithmetic number, because the mean of its divisors is an integer number (12610800).

Almost surely, 2424135950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424135950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605318400).

424135950 is an abundant number, since it is smaller than the sum of its proper divisors (786500850).

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

424135950 is a wasteful number, since it uses less digits than its factorization.

424135950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2877 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 424135950 is about 20594.5611752229. The cubic root of 424135950 is about 751.3374358251.

The spelling of 424135950 in words is "four hundred twenty-four million, one hundred thirty-five thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 149 150 175 210 298 350 447 525 745 894 1043 1050 1490 2086 2235 2711 3129 3725 4470 5215 5422 6258 7450 8133 10430 11175 13555 15645 16266 18977 22350 26075 27110 31290 37954 40665 52150 56931 67775 78225 81330 94885 113862 135550 156450 189770 203325 284655 403939 406650 474425 569310 807878 948850 1211817 1423275 2019695 2423634 2827573 2846550 4039390 5655146 6059085 8482719 10098475 12118170 14137865 16965438 20196950 28275730 30295425 42413595 60590850 70689325 84827190 141378650 212067975 424135950