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40121424 = 2432753751
BaseRepresentation
bin1001100100001…
…1010001010000
32210111101020200
42121003101100
540232341144
63551535200
7665012040
oct231032120
983441220
1040121424
1120713902
121152a500
138409bb5
145485720
1537c7c69
hex2643450

40121424 has 120 divisors (see below), whose sum is σ = 130920192. Its totient is φ = 11232000.

The previous prime is 40121423. The next prime is 40121429. The reversal of 40121424 is 42412104.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40121397 and 40121406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40121423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53049 + ... + 53799.

Almost surely, 240121424 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 40121424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65460096).

40121424 is an abundant number, since it is smaller than the sum of its proper divisors (90798768).

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

40121424 is a wasteful number, since it uses less digits than its factorization.

40121424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 40121424 is about 6334.1474564459. The cubic root of 40121424 is about 342.3408932969.

Adding to 40121424 its reverse (42412104), we get a palindrome (82533528).

The spelling of 40121424 in words is "forty million, one hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 53 56 63 72 84 106 112 126 144 159 168 212 252 318 336 371 424 477 504 636 742 751 848 954 1008 1113 1272 1484 1502 1908 2226 2253 2544 2968 3004 3339 3816 4452 4506 5257 5936 6008 6678 6759 7632 8904 9012 10514 12016 13356 13518 15771 17808 18024 21028 26712 27036 31542 36048 39803 42056 47313 53424 54072 63084 79606 84112 94626 108144 119409 126168 159212 189252 238818 252336 278621 318424 358227 378504 477636 557242 636848 716454 757008 835863 955272 1114484 1432908 1671726 1910544 2228968 2507589 2865816 3343452 4457936 5015178 5731632 6686904 10030356 13373808 20060712 40121424