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1426241232 = 2432131940099
BaseRepresentation
bin101010100000010…
…1011011011010000
310200101201120011100
41111000223123100
510410104204412
6353305144400
750225564463
oct12500533320
93611646140
101426241232
11672092169
1233978b100
13199638930
14d75c32da
1585329edc
hex5502b6d0

1426241232 has 120 divisors (see below), whose sum is σ = 4524884000. Its totient is φ = 415736064.

The previous prime is 1426241221. The next prime is 1426241233. The reversal of 1426241232 is 2321426241.

1426241232 is a `hidden beast` number, since 1 + 4 + 2 + 624 + 1 + 2 + 32 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1426241196 and 1426241205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1426241233) 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, 15519 + ... + 55617.

Almost surely, 21426241232 is an apocalyptic number.

1426241232 is a gapful number since it is divisible by the number (12) 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 1426241232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262442000).

1426241232 is an abundant number, since it is smaller than the sum of its proper divisors (3098642768).

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

1426241232 is a wasteful number, since it uses less digits than its factorization.

1426241232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40145 (or 40136 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 1426241232 is about 37765.6091172908. The cubic root of 1426241232 is about 1125.6351921082.

Adding to 1426241232 its reverse (2321426241), we get a palindrome (3747667473).

The spelling of 1426241232 in words is "one billion, four hundred twenty-six million, two hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 36 38 39 48 52 57 72 76 78 104 114 117 144 152 156 171 208 228 234 247 304 312 342 456 468 494 624 684 741 912 936 988 1368 1482 1872 1976 2223 2736 2964 3952 4446 5928 8892 11856 17784 35568 40099 80198 120297 160396 240594 320792 360891 481188 521287 641584 721782 761881 962376 1042574 1443564 1523762 1563861 1924752 2085148 2285643 2887128 3047524 3127722 4170296 4571286 4691583 5774256 6095048 6255444 6856929 8340592 9142572 9383166 9904453 12190096 12510888 13713858 18285144 18766332 19808906 25021776 27427716 29713359 36570288 37532664 39617812 54855432 59426718 75065328 79235624 89140077 109710864 118853436 158471248 178280154 237706872 356560308 475413744 713120616 1426241232