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424788966 = 232719191929
BaseRepresentation
bin11001010100011…
…100001111100110
31002121022111220200
4121110130033212
51332221221331
6110052411330
713345434540
oct3124341746
91077274820
10424788966
111a8867268
12ba316b46
136a010724
14405b8690
152745d5e6
hex1951c3e6

424788966 has 96 divisors (see below), whose sum is σ = 1114214400. Its totient is φ = 114255360.

The previous prime is 424788887. The next prime is 424789003. The reversal of 424788966 is 669887424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 456790 + ... + 457718.

It is an arithmetic number, because the mean of its divisors is an integer number (11606400).

Almost surely, 2424788966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424788966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557107200).

424788966 is an abundant number, since it is smaller than the sum of its proper divisors (689425434).

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

424788966 is a wasteful number, since it uses less digits than its factorization.

424788966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1151 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 424788966 is about 20610.4091662441. The cubic root of 424788966 is about 751.7228340933.

The spelling of 424788966 in words is "four hundred twenty-four million, seven hundred eighty-eight thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 191 266 342 382 399 573 798 929 1146 1197 1337 1719 1858 2394 2674 2787 3438 3629 4011 5574 6503 7258 8022 8361 10887 12033 13006 16722 17651 19509 21774 24066 25403 32661 35302 39018 50806 52953 58527 65322 76209 105906 117054 123557 152418 158859 177439 228627 247114 317718 354878 370671 457254 532317 741342 1064634 1112013 1242073 1596951 2224026 2484146 3193902 3371341 3726219 6742682 7452438 10114023 11178657 20228046 22357314 23599387 30342069 47198774 60684138 70798161 141596322 212394483 424788966