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421868124 = 2232171634229
BaseRepresentation
bin11001001001010…
…011001001011100
31002101211010021100
4121021103021130
51330444234444
6105510033100
713311551136
oct3111231134
91071733240
10421868124
111a7151847
12b9348790
136952a112
1440058056
1527082e69
hex1925325c

421868124 has 72 divisors (see below), whose sum is σ = 1136313360. Its totient is φ = 131507712.

The previous prime is 421868101. The next prime is 421868129.

421868124 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421868129) 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 23 ways as a sum of consecutive naturals, for example, 97642 + ... + 101870.

It is an arithmetic number, because the mean of its divisors is an integer number (15782130).

Almost surely, 2421868124 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 421868124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568156680).

421868124 is an abundant number, since it is smaller than the sum of its proper divisors (714445236).

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

421868124 is a wasteful number, since it uses less digits than its factorization.

421868124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4419 (or 4414 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 421868124 is about 20539.4285217481. The cubic root of 421868124 is about 749.9959253112.

The spelling of 421868124 in words is "four hundred twenty-one million, eight hundred sixty-eight thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 163 204 306 326 489 612 652 978 1467 1956 2771 2934 4229 5542 5868 8313 8458 11084 12687 16626 16916 24939 25374 33252 38061 49878 50748 71893 76122 99756 143786 152244 215679 287572 431358 647037 689327 862716 1294074 1378654 2067981 2588148 2757308 4135962 6203943 8271924 11718559 12407886 23437118 24815772 35155677 46874236 70311354 105467031 140622708 210934062 421868124