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421442880 = 2635795557
BaseRepresentation
bin11001000111101…
…011010101000000
31002101000111221120
4121013223111000
51330342133010
6105452552240
713305130305
oct3107532500
91071014846
10421442880
111a6991301
12b9182680
136940b6b1
143dd870ac
1526eebe70
hex191eb540

421442880 has 112 divisors (see below), whose sum is σ = 1355262720. Its totient is φ = 110942208.

The previous prime is 421442873. The next prime is 421442897. The reversal of 421442880 is 88244124.

It is a super-2 number, since 2×4214428802 = 355228202205388800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 73062 + ... + 78618.

It is an arithmetic number, because the mean of its divisors is an integer number (12100560).

Almost surely, 2421442880 is an apocalyptic number.

421442880 is a gapful number since it is divisible by the number (40) 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 421442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677631360).

421442880 is an abundant number, since it is smaller than the sum of its proper divisors (933819840).

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

421442880 is a wasteful number, since it uses less digits than its factorization.

421442880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5656 (or 5646 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 421442880 is about 20529.0740171105. The cubic root of 421442880 is about 749.7438414092.

The spelling of 421442880 in words is "four hundred twenty-one million, four hundred forty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 79 80 96 120 158 160 192 237 240 316 320 395 474 480 632 790 948 960 1185 1264 1580 1896 2370 2528 3160 3792 4740 5056 5557 6320 7584 9480 11114 12640 15168 16671 18960 22228 25280 27785 33342 37920 44456 55570 66684 75840 83355 88912 111140 133368 166710 177824 222280 266736 333420 355648 439003 444560 533472 666840 878006 889120 1066944 1317009 1333680 1756012 1778240 2195015 2634018 2667360 3512024 4390030 5268036 5334720 6585045 7024048 8780060 10536072 13170090 14048096 17560120 21072144 26340180 28096192 35120240 42144288 52680360 70240480 84288576 105360720 140480960 210721440 421442880