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424402144 = 25177310687
BaseRepresentation
bin11001010010111…
…101110011100000
31002120120212021221
4121102331303200
51332121332034
6110040224424
713342234015
oct3122756340
91076525257
10424402144
111a8622681
12ba16b114
1369c0663a
144051770c
15273d3bb4
hex194bdce0

424402144 has 48 divisors (see below), whose sum is σ = 896894208. Its totient is φ = 196964352.

The previous prime is 424402129. The next prime is 424402159. The reversal of 424402144 is 441204424.

It is an interprime number because it is at equal distance from previous prime (424402129) and next prime (424402159).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34369 + ... + 45055.

It is an arithmetic number, because the mean of its divisors is an integer number (18685296).

Almost surely, 2424402144 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 424402144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448447104).

424402144 is an abundant number, since it is smaller than the sum of its proper divisors (472492064).

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

424402144 is a wasteful number, since it uses less digits than its factorization.

424402144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10787 (or 10779 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

The square root of 424402144 is about 20601.0228872258. The cubic root of 424402144 is about 751.4945864515.

Adding to 424402144 its reverse (441204424), we get a palindrome (865606568).

The spelling of 424402144 in words is "four hundred twenty-four million, four hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 68 73 136 146 272 292 544 584 1168 1241 2336 2482 4964 9928 10687 19856 21374 39712 42748 85496 170992 181679 341984 363358 726716 780151 1453432 1560302 2906864 3120604 5813728 6241208 12482416 13262567 24964832 26525134 53050268 106100536 212201072 424402144