Search a number
-
+
411352424 = 23723521613
BaseRepresentation
bin11000100001001…
…011110101101000
31001200000212102222
4120201023311220
51320301234144
6104452413212
713123303130
oct3041136550
91050025388
10411352424
111a121a18a
12b5917208
13672b7902
143c8bbac0
15261a72ee
hex1884bd68

411352424 has 64 divisors (see below), whose sum is σ = 923063040. Its totient is φ = 168030720.

The previous prime is 411352411. The next prime is 411352427. The reversal of 411352424 is 424253114.

It is a junction number, because it is equal to n+sod(n) for n = 411352393 and 411352402.

It is not an unprimeable number, because it can be changed into a prime (411352427) 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 15 ways as a sum of consecutive naturals, for example, 670742 + ... + 671354.

It is an arithmetic number, because the mean of its divisors is an integer number (14422860).

Almost surely, 2411352424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411352424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461531520).

411352424 is an abundant number, since it is smaller than the sum of its proper divisors (511710616).

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

411352424 is a wasteful number, since it uses less digits than its factorization.

411352424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1166 counting only the distinct ones).

The product of its digits is 3840, while the sum is 26.

The square root of 411352424 is about 20281.8249671966. The cubic root of 411352424 is about 743.7118252280.

The spelling of 411352424 in words is "four hundred eleven million, three hundred fifty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 521 613 644 1042 1226 1288 2084 2452 3647 4168 4291 4904 7294 8582 11983 14099 14588 17164 23966 28198 29176 34328 47932 56396 83881 95864 98693 112792 167762 197386 319373 335524 394772 638746 671048 789544 1277492 2235611 2554984 4471222 7345579 8942444 14691158 17884888 29382316 51419053 58764632 102838106 205676212 411352424