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40002424 = 2372119277
BaseRepresentation
bin1001100010011…
…0001101111000
32210021100000021
42120212031320
540220034144
63545220224
7664005100
oct230461570
983240007
1040002424
1120642460
1211491674
138397997
145454200
1537a2884
hex2626378

40002424 has 48 divisors (see below), whose sum is σ = 95192280. Its totient is φ = 15583680.

The previous prime is 40002421. The next prime is 40002433. The reversal of 40002424 is 42420004.

It is a junction number, because it is equal to n+sod(n) for n = 40002398 and 40002407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40002421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 327 + ... + 8950.

Almost surely, 240002424 is an apocalyptic number.

40002424 is a gapful number since it is divisible by the number (44) 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 40002424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47596140).

40002424 is an abundant number, since it is smaller than the sum of its proper divisors (55189856).

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

40002424 is a wasteful number, since it uses less digits than its factorization.

40002424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9308 (or 9297 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 40002424 is about 6324.7469514598. The cubic root of 40002424 is about 342.0020974986.

Adding to 40002424 its reverse (42420004), we get a palindrome (82422428).

The spelling of 40002424 in words is "forty million, two thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 308 392 539 616 1078 2156 4312 9277 18554 37108 64939 74216 102047 129878 204094 259756 408188 454573 519512 714329 816376 909146 1428658 1818292 2857316 3636584 5000303 5714632 10000606 20001212 40002424