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4210423424 = 272313910289
BaseRepresentation
bin1111101011110101…
…1111011010000000
3101212102122200010022
43322331133122000
532110332022144
61533443553012
7206224002644
oct37275373200
911772580108
104210423424
111870746489
1299608b768
135213b820c
142bd28ac24
1519998ccee
hexfaf5f680

4210423424 has 64 divisors (see below), whose sum is σ = 8816472000. Its totient is φ = 1998999552.

The previous prime is 4210423411. The next prime is 4210423453. The reversal of 4210423424 is 4243240124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 4210423393 and 4210423402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 404072 + ... + 414360.

It is an arithmetic number, because the mean of its divisors is an integer number (137757375).

Almost surely, 24210423424 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 4210423424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4408236000).

4210423424 is an abundant number, since it is smaller than the sum of its proper divisors (4606048576).

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

4210423424 is a wasteful number, since it uses less digits than its factorization.

4210423424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10465 (or 10453 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 4210423424 is about 64887.7756129766. The cubic root of 4210423424 is about 1614.7622617139.

Adding to 4210423424 its reverse (4243240124), we get a palindrome (8453663548).

The spelling of 4210423424 in words is "four billion, two hundred ten million, four hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 139 184 278 368 556 736 1112 1472 2224 2944 3197 4448 6394 8896 10289 12788 17792 20578 25576 41156 51152 82312 102304 164624 204608 236647 329248 409216 473294 658496 946588 1316992 1430171 1893176 2860342 3786352 5720684 7572704 11441368 15145408 22882736 30290816 32893933 45765472 65787866 91530944 131575732 183061888 263151464 526302928 1052605856 2105211712 4210423424