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421946460 = 22325131710607
BaseRepresentation
bin11001001001100…
…110010001011100
31002101222002201200
4121021212101130
51331004241320
6105511435500
713312325415
oct3111462134
91071862650
10421946460
111a71a5691
12b9385b90
1369556980
144007880c
152709b290
hex1926645c

421946460 has 144 divisors (see below), whose sum is σ = 1459575936. Its totient is φ = 97744896.

The previous prime is 421946453. The next prime is 421946467. The reversal of 421946460 is 64649124.

421946460 is a `hidden beast` number, since 4 + 2 + 1 + 9 + 4 + 646 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (421946453) and next prime (421946467).

It is a super-3 number, since 3×4219464603 (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421946467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34477 + ... + 45083.

It is an arithmetic number, because the mean of its divisors is an integer number (10135944).

Almost surely, 2421946460 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 421946460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729787968).

421946460 is an abundant number, since it is smaller than the sum of its proper divisors (1037629476).

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

421946460 is a wasteful number, since it uses less digits than its factorization.

421946460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10652 (or 10647 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 421946460 is about 20541.3353996277. The cubic root of 421946460 is about 750.0423442759.

The spelling of 421946460 in words is "four hundred twenty-one million, nine hundred forty-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 30 34 36 39 45 51 52 60 65 68 78 85 90 102 117 130 153 156 170 180 195 204 221 234 255 260 306 340 390 442 468 510 585 612 663 765 780 884 1020 1105 1170 1326 1530 1989 2210 2340 2652 3060 3315 3978 4420 6630 7956 9945 10607 13260 19890 21214 31821 39780 42428 53035 63642 95463 106070 127284 137891 159105 180319 190926 212140 275782 318210 360638 381852 413673 477315 540957 551564 636420 689455 721276 827346 901595 954630 1081914 1241019 1378910 1622871 1654692 1803190 1909260 2068365 2163828 2344147 2482038 2704785 2757820 3245742 3606380 4136730 4688294 4964076 5409570 6205095 6491484 7032441 8114355 8273460 9376588 10819140 11720735 12410190 14064882 16228710 21097323 23441470 24820380 28129764 32457420 35162205 42194646 46882940 70324410 84389292 105486615 140648820 210973230 421946460