[go: up one dir, main page]

Search a number
-
+
2421112316 = 2271937472617
BaseRepresentation
bin1001000001001111…
…0011110111111100
320020201202020201112
42100103303313330
514424301043231
61040124501152
7113666054330
oct22023636774
96221666645
102421112316
111032722577
125769aa7b8
132c779b44c
1418d7977c0
15e284692b
hex904f3dfc

2421112316 has 96 divisors (see below), whose sum is σ = 5348259840. Its totient is φ = 935732736.

The previous prime is 2421112313. The next prime is 2421112321. The reversal of 2421112316 is 6132111242.

It is a junction number, because it is equal to n+sod(n) for n = 2421112291 and 2421112300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2421112313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 923840 + ... + 926456.

It is an arithmetic number, because the mean of its divisors is an integer number (55711040).

Almost surely, 22421112316 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 2421112316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674129920).

2421112316 is an abundant number, since it is smaller than the sum of its proper divisors (2927147524).

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

2421112316 is a wasteful number, since it uses less digits than its factorization.

2421112316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2731 (or 2729 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 2421112316 is about 49204.7997252301. The cubic root of 2421112316 is about 1342.7803553863.

Adding to 2421112316 its reverse (6132111242), we get a palindrome (8553223558).

The spelling of 2421112316 in words is "two billion, four hundred twenty-one million, one hundred twelve thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 19 28 37 38 47 74 76 94 133 148 188 259 266 329 518 532 658 703 893 1036 1316 1406 1739 1786 2617 2812 3478 3572 4921 5234 6251 6956 9842 10468 12173 12502 18319 19684 24346 25004 33041 36638 48692 49723 66082 73276 96829 99446 122999 132164 193658 198892 231287 245998 348061 387316 462574 491996 677803 696122 860993 925148 1355606 1392244 1721986 1839751 2336981 2711212 3443972 3679502 4550963 4673962 7359004 9101926 9347924 12878257 16358867 18203852 25756514 31856741 32717734 51513028 63713482 65435468 86468297 127426964 172936594 345873188 605278079 1210556158 2421112316