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424520404 = 227117379239
BaseRepresentation
bin11001010011011…
…010101011010100
31002120210212111221
4121103122223110
51332134123104
6110042540124
713343235550
oct3123325324
91076725457
10424520404
111a86a3510
12ba207644
1369c48409
1440548860
1527408c54
hex194daad4

424520404 has 96 divisors (see below), whose sum is σ = 954777600. Its totient is φ = 160392960.

The previous prime is 424520359. The next prime is 424520419. The reversal of 424520404 is 404025424.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1776117 + ... + 1776355.

It is an arithmetic number, because the mean of its divisors is an integer number (9945600).

Almost surely, 2424520404 is an apocalyptic number.

424520404 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 424520404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477388800).

424520404 is an abundant number, since it is smaller than the sum of its proper divisors (530257196).

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

424520404 is a wasteful number, since it uses less digits than its factorization.

424520404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

The square root of 424520404 is about 20603.8929331328. The cubic root of 424520404 is about 751.5643814935.

Adding to 424520404 its reverse (404025424), we get a palindrome (828545828).

It can be divided in two parts, 4245 and 20404, that added together give a square (24649 = 1572).

The spelling of 424520404 in words is "four hundred twenty-four million, five hundred twenty thousand, four hundred four".

Divisors: 1 2 4 7 11 14 22 28 44 73 77 79 146 154 158 239 292 308 316 478 511 553 803 869 956 1022 1106 1606 1673 1738 2044 2212 2629 3212 3346 3476 5258 5621 5767 6083 6692 10516 11242 11534 12166 17447 18403 18881 22484 23068 24332 34894 36806 37762 40369 63437 69788 73612 75524 80738 122129 126874 132167 161476 191917 207691 244258 253748 264334 383834 415382 444059 488516 528668 767668 830764 888118 1343419 1378313 1453837 1776236 2686838 2756626 2907674 5373676 5513252 5815348 9648191 15161443 19296382 30322886 38592764 60645772 106130101 212260202 424520404