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426221520 = 24357125013
BaseRepresentation
bin11001011001111…
…001111111010000
31002201000022000020
4121121321333100
51333103042040
6110143223440
713363552224
oct3131717720
91081008006
10426221520
111a965559a
12ba8a7b80
136a3c27aa
144086c784
1527642cd0
hex19679fd0

426221520 has 80 divisors (see below), whose sum is σ = 1339949952. Its totient is φ = 112053760.

The previous prime is 426221513. The next prime is 426221557. The reversal of 426221520 is 25122624.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4262215202 = 363329568222220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4534 + ... + 29546.

Almost surely, 2426221520 is an apocalyptic number.

426221520 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 426221520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669974976).

426221520 is an abundant number, since it is smaller than the sum of its proper divisors (913728432).

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

426221520 is a wasteful number, since it uses less digits than its factorization.

426221520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25100 (or 25094 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 426221520 is about 20645.1330826420. The cubic root of 426221520 is about 752.5669200943.

The spelling of 426221520 in words is "four hundred twenty-six million, two hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2840 3408 4260 5680 8520 17040 25013 50026 75039 100052 125065 150078 200104 250130 300156 375195 400208 500260 600312 750390 1000520 1200624 1500780 1775923 2001040 3001560 3551846 5327769 6003120 7103692 8879615 10655538 14207384 17759230 21311076 26638845 28414768 35518460 42622152 53277690 71036920 85244304 106555380 142073840 213110760 426221520