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421044768 = 25325971349
BaseRepresentation
bin11001000110001…
…010001000100000
31002100021021211200
4121012022020200
51330241413033
6105440241200
713301551524
oct3106121040
91070237750
10421044768
111a673a191
12b9010200
13692cc421
143dcc1d84
1526e6e013
hex1918a220

421044768 has 144 divisors (see below), whose sum is σ = 1238328000. Its totient is φ = 135636480.

The previous prime is 421044749. The next prime is 421044779. The reversal of 421044768 is 867440124.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1206258 + ... + 1206606.

It is an arithmetic number, because the mean of its divisors is an integer number (8599500).

Almost surely, 2421044768 is an apocalyptic number.

421044768 is a gapful number since it is divisible by the number (48) 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 421044768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619164000).

421044768 is an abundant number, since it is smaller than the sum of its proper divisors (817283232).

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

421044768 is a wasteful number, since it uses less digits than its factorization.

421044768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 421044768 is about 20519.3754290914. The cubic root of 421044768 is about 749.5076875753.

The spelling of 421044768 in words is "four hundred twenty-one million, forty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 71 72 96 118 142 144 177 213 236 284 288 349 354 426 472 531 568 639 698 708 852 944 1047 1062 1136 1278 1396 1416 1704 1888 2094 2124 2272 2556 2792 2832 3141 3408 4188 4189 4248 5112 5584 5664 6282 6816 8376 8378 8496 10224 11168 12564 12567 16752 16756 16992 20448 20591 24779 25128 25134 33504 33512 37701 41182 49558 50256 50268 61773 67024 74337 75402 82364 99116 100512 100536 123546 134048 148674 150804 164728 185319 198232 201072 223011 247092 297348 301608 329456 370638 396464 402144 446022 494184 594696 603216 658912 741276 792928 892044 988368 1189392 1206432 1461961 1482552 1784088 1976736 2378784 2923922 2965104 3568176 4385883 5847844 5930208 7136352 8771766 11695688 13157649 17543532 23391376 26315298 35087064 46782752 52630596 70174128 105261192 140348256 210522384 421044768