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424246460 = 2251161101313
BaseRepresentation
bin11001010010010…
…111110010111100
31002120021221201212
4121102113302330
51332101341320
6110033023552
713341015101
oct3122276274
91076257655
10424246460
111a8526710
12ba0b4bb8
1369b80811
14404b6aa8
15273a29c5
hex19497cbc

424246460 has 96 divisors (see below), whose sum is σ = 1000810944. Its totient is φ = 149760000.

The previous prime is 424246453. The next prime is 424246463. The reversal of 424246460 is 64642424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424246463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1355264 + ... + 1355576.

It is an arithmetic number, because the mean of its divisors is an integer number (10425114).

Almost surely, 2424246460 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 424246460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500405472).

424246460 is an abundant number, since it is smaller than the sum of its proper divisors (576564484).

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

424246460 is a wasteful number, since it uses less digits than its factorization.

424246460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 424246460 is about 20597.2439903983. The cubic root of 424246460 is about 751.4026846286.

Adding to 424246460 its reverse (64642424), we get a palindrome (488888884).

It can be divided in two parts, 42424 and 6460, that added together give a palindrome (48884).

The spelling of 424246460 in words is "four hundred twenty-four million, two hundred forty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 101 110 122 202 220 244 305 313 404 505 610 626 671 1010 1111 1220 1252 1342 1565 2020 2222 2684 3130 3355 3443 4444 5555 6161 6260 6710 6886 11110 12322 13420 13772 17215 19093 22220 24644 30805 31613 34430 38186 61610 63226 67771 68860 76372 95465 123220 126452 135542 158065 190930 210023 271084 316130 338855 347743 381860 420046 632260 677710 695486 840092 1050115 1355420 1390972 1738715 1928393 2100230 3477430 3856786 4200460 6954860 7713572 9641965 19283930 21212323 38567860 42424646 84849292 106061615 212123230 424246460