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2400425412 = 2237115994337
BaseRepresentation
bin1000111100010011…
…1001010111000100
320012021211020121220
42033010321113010
514404002103122
61034105240340
7113325164550
oct21704712704
96167736556
102400425412
111021a83160
1256ba930b0
132c3407488
1418ab30860
15e0b0c25c
hex8f1395c4

2400425412 has 96 divisors (see below), whose sum is σ = 6996326400. Its totient is φ = 622302720.

The previous prime is 2400425411. The next prime is 2400425413. The reversal of 2400425412 is 2145240042.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2400425411) and next prime (2400425413).

It is not an unprimeable number, because it can be changed into a prime (2400425411) 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, 551308 + ... + 555644.

It is an arithmetic number, because the mean of its divisors is an integer number (72878400).

Almost surely, 22400425412 is an apocalyptic number.

2400425412 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 2400425412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3498163200).

2400425412 is an abundant number, since it is smaller than the sum of its proper divisors (4595900988).

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

2400425412 is a wasteful number, since it uses less digits than its factorization.

2400425412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4961 (or 4959 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2400425412 is about 48994.1365063208. The cubic root of 2400425412 is about 1338.9450023825.

Adding to 2400425412 its reverse (2145240042), we get a palindrome (4545665454).

The spelling of 2400425412 in words is "two billion, four hundred million, four hundred twenty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 599 924 1198 1797 2396 3594 4193 4337 6589 7188 8386 8674 12579 13011 13178 16772 17348 19767 25158 26022 26356 30359 39534 46123 47707 50316 52044 60718 79068 91077 92246 95414 121436 138369 143121 182154 184492 190828 276738 286242 333949 364308 553476 572484 667898 1001847 1335796 2003694 2597863 4007388 5195726 7793589 10391452 15587178 18185041 28576493 31174356 36370082 54555123 57152986 72740164 85729479 109110246 114305972 171458958 200035451 218220492 342917916 400070902 600106353 800141804 1200212706 2400425412