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421654016 = 2977
BaseRepresentation
bin11001001000011…
…110111000000000
31002101102020120102
4121020132320000
51330420412031
6105501301532
713310000000
oct3110367000
91071366512
10421654016
111a70159a3
12b92648a8
1369483824
1440000000
152703e7cb
hex1921ee00

421654016 has 80 divisors (see below), whose sum is σ = 982898400. Its totient is φ = 180708864.

The previous prime is 421653983. The next prime is 421654039. The reversal of 421654016 is 610456124.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 421654016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60236285 + ... + 60236291.

It is an arithmetic number, because the mean of its divisors is an integer number (12286230).

Almost surely, 2421654016 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 421654016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491449200).

421654016 is an abundant number, since it is smaller than the sum of its proper divisors (561244384).

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

421654016 is an frugal number, since it uses more digits than its factorization.

421654016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 9 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 421654016 is about 20534.2157386154. The cubic root of 421654016 is about 749.8690236468.

The spelling of 421654016 in words is "four hundred twenty-one million, six hundred fifty-four thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 512 686 784 896 1372 1568 1792 2401 2744 3136 3584 4802 5488 6272 9604 10976 12544 16807 19208 21952 25088 33614 38416 43904 67228 76832 87808 117649 134456 153664 175616 235298 268912 307328 470596 537824 614656 823543 941192 1075648 1229312 1647086 1882384 2151296 3294172 3764768 4302592 6588344 7529536 8605184 13176688 15059072 26353376 30118144 52706752 60236288 105413504 210827008 421654016