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422359728 = 24379712959
BaseRepresentation
bin11001001011001…
…011001010110000
31002102202002121220
4121023023022300
51331111002403
6105524345040
713315666320
oct3113131260
91072662556
10422359728
111a745812a
12b9545180
136966cacb
1440145280
152712d953
hex192cb2b0

422359728 has 80 divisors (see below), whose sum is σ = 1259919360. Its totient is φ = 119420928.

The previous prime is 422359727. The next prime is 422359753. The reversal of 422359728 is 827953224.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 422359728.

It is not an unprimeable number, because it can be changed into a prime (422359723) by changing a digit.

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, 26113 + ... + 39071.

It is an arithmetic number, because the mean of its divisors is an integer number (15748992).

Almost surely, 2422359728 is an apocalyptic number.

422359728 is a gapful number since it is divisible by the number (48) 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 422359728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629959680).

422359728 is an abundant number, since it is smaller than the sum of its proper divisors (837559632).

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

422359728 is a wasteful number, since it uses less digits than its factorization.

422359728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13074 (or 13068 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 422359728 is about 20551.3923615895. The cubic root of 422359728 is about 750.2871362785.

The spelling of 422359728 in words is "four hundred twenty-two million, three hundred fifty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 97 112 168 194 291 336 388 582 679 776 1164 1358 1552 2037 2328 2716 4074 4656 5432 8148 10864 12959 16296 25918 32592 38877 51836 77754 90713 103672 155508 181426 207344 272139 311016 362852 544278 622032 725704 1088556 1257023 1451408 2177112 2514046 3771069 4354224 5028092 7542138 8799161 10056184 15084276 17598322 20112368 26397483 30168552 35196644 52794966 60337104 70393288 105589932 140786576 211179864 422359728