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421317216 = 25326172371
BaseRepresentation
bin11001000111001…
…100101001100000
31002100210010120100
4121013030221200
51330324122331
6105450142400
713304065035
oct3107145140
91070703510
10421317216
111a6905951
12b9121a00
1369396438
143dd5338c
1526ec4ae6
hex191cca60

421317216 has 72 divisors (see below), whose sum is σ = 1200568824. Its totient is φ = 140152320.

The previous prime is 421317209. The next prime is 421317217. The reversal of 421317216 is 612713124.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 421317216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421317217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176511 + ... + 178881.

It is an arithmetic number, because the mean of its divisors is an integer number (16674567).

Almost surely, 2421317216 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 421317216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600284412).

421317216 is an abundant number, since it is smaller than the sum of its proper divisors (779251608).

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

421317216 is a wasteful number, since it uses less digits than its factorization.

421317216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3004 (or 2993 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 421317216 is about 20526.0131540443. The cubic root of 421317216 is about 749.6693155518.

The spelling of 421317216 in words is "four hundred twenty-one million, three hundred seventeen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 617 1234 1851 2371 2468 3702 4742 4936 5553 7113 7404 9484 9872 11106 14226 14808 18968 19744 21339 22212 28452 29616 37936 42678 44424 56904 59232 75872 85356 88848 113808 170712 177696 227616 341424 682848 1462907 2925814 4388721 5851628 8777442 11703256 13166163 17554884 23406512 26332326 35109768 46813024 52664652 70219536 105329304 140439072 210658608 421317216