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4115452224 = 263132516569
BaseRepresentation
bin1111010101001100…
…1101000101000000
3101121210221122010110
43311103031011000
531412023432344
61520212231320
7203661523662
oct36523150500
911553848113
104115452224
11182207a194
1296a30b540
13507815640
142b0808532
1519147d3b9
hexf54cd140

4115452224 has 112 divisors (see below), whose sum is σ = 11774911680. Its totient is φ = 1261056000.

The previous prime is 4115452219. The next prime is 4115452247. The reversal of 4115452224 is 4222545114.

It is a junction number, because it is equal to n+sod(n) for n = 4115452191 and 4115452200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 623212 + ... + 629780.

It is an arithmetic number, because the mean of its divisors is an integer number (105133140).

Almost surely, 24115452224 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 4115452224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5887455840).

4115452224 is an abundant number, since it is smaller than the sum of its proper divisors (7659459456).

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

4115452224 is a wasteful number, since it uses less digits than its factorization.

4115452224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6848 (or 6838 counting only the distinct ones).

The product of its digits is 12800, while the sum is 30.

The square root of 4115452224 is about 64151.7904972262. The cubic root of 4115452224 is about 1602.5288426577.

Adding to 4115452224 its reverse (4222545114), we get a palindrome (8337997338).

The spelling of 4115452224 in words is "four billion, one hundred fifteen million, four hundred fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 251 312 416 502 624 753 832 1004 1248 1506 2008 2496 3012 3263 4016 6024 6526 6569 8032 9789 12048 13052 13138 16064 19578 19707 24096 26104 26276 39156 39414 48192 52208 52552 78312 78828 85397 104416 105104 156624 157656 170794 208832 210208 256191 313248 315312 341588 420416 512382 626496 630624 683176 1024764 1261248 1366352 1648819 2049528 2732704 3297638 4099056 4946457 5465408 6595276 8198112 9892914 13190552 16396224 19785828 21434647 26381104 39571656 42869294 52762208 64303941 79143312 85738588 105524416 128607882 158286624 171477176 257215764 316573248 342954352 514431528 685908704 1028863056 1371817408 2057726112 4115452224