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421035648 = 27311263379
BaseRepresentation
bin11001000110000…
…111111010000000
31002100020211022220
4121012013322000
51330241120043
6105440131040
713301513115
oct3106077200
91070224286
10421035648
111a6733350
12b9006a80
13692c8227
143dcbc90c
1526e6b483
hex19187e80

421035648 has 128 divisors (see below), whose sum is σ = 1227916800. Its totient is φ = 126766080.

The previous prime is 421035619. The next prime is 421035653. The reversal of 421035648 is 846530124.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1110723 + ... + 1111101.

It is an arithmetic number, because the mean of its divisors is an integer number (9593100).

Almost surely, 2421035648 is an apocalyptic number.

421035648 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 421035648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613958400).

421035648 is an abundant number, since it is smaller than the sum of its proper divisors (806881152).

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

421035648 is a wasteful number, since it uses less digits than its factorization.

421035648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 421035648 is about 20519.1531989018. The cubic root of 421035648 is about 749.5022759897.

The spelling of 421035648 in words is "four hundred twenty-one million, thirty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 263 264 352 379 384 526 528 704 758 789 1052 1056 1137 1408 1516 1578 2104 2112 2274 2893 3032 3156 4169 4208 4224 4548 5786 6064 6312 8338 8416 8679 9096 11572 12128 12507 12624 16676 16832 17358 18192 23144 24256 25014 25248 33352 33664 34716 36384 46288 48512 50028 50496 66704 69432 72768 92576 99677 100056 100992 133408 138864 145536 185152 199354 200112 266816 277728 299031 370304 398708 400224 533632 555456 598062 797416 800448 1096447 1110912 1196124 1594832 1600896 2192894 2392248 3189664 3289341 4385788 4784496 6379328 6578682 8771576 9568992 12758656 13157364 17543152 19137984 26314728 35086304 38275968 52629456 70172608 105258912 140345216 210517824 421035648