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241418892 = 2231113269523
BaseRepresentation
bin11100110001111…
…00001010001100
3121211021100110110
432120330022030
5443300401032
635542240020
75661012111
oct1630741214
9554240413
10241418892
11114302650
1268a26010
133b029920
14240c4908
15162db7cc
hexe63c28c

241418892 has 96 divisors (see below), whose sum is σ = 665521920. Its totient is φ = 67150080.

The previous prime is 241418873. The next prime is 241418897. The reversal of 241418892 is 298814142.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 241418892.

It is not an unprimeable number, because it can be changed into a prime (241418897) 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 31 ways as a sum of consecutive naturals, for example, 461343 + ... + 461865.

It is an arithmetic number, because the mean of its divisors is an integer number (6932520).

Almost surely, 2241418892 is an apocalyptic number.

241418892 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241418892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332760960).

241418892 is an abundant number, since it is smaller than the sum of its proper divisors (424103028).

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

241418892 is a wasteful number, since it uses less digits than its factorization.

241418892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 821 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 241418892 is about 15537.6604416495. The cubic root of 241418892 is about 622.6687699039.

It can be divided in two parts, 24141 and 8892, that added together give a palindrome (33033).

The spelling of 241418892 in words is "two hundred forty-one million, four hundred eighteen thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 269 286 429 523 538 572 807 858 1046 1076 1569 1614 1716 2092 2959 3138 3228 3497 5753 5918 6276 6799 6994 8877 10491 11506 11836 13598 13988 17259 17754 20397 20982 23012 27196 34518 35508 38467 40794 41964 69036 74789 76934 81588 115401 140687 149578 153868 224367 230802 281374 299156 422061 448734 461604 562748 844122 897468 1547557 1688244 1828931 3095114 3657862 4642671 5486793 6190228 7315724 9285342 10973586 18570684 20118241 21947172 40236482 60354723 80472964 120709446 241418892