Search a number
-
+
427535948 = 227195359257
BaseRepresentation
bin11001011110111…
…010111001001100
31002210111002001202
4121132322321030
51333422122243
6110231325032
713410665330
oct3136727114
91083432052
10427535948
111aa3730a4
12bb220778
136a762b68
1440ad17c0
15278024b8
hex197bae4c

427535948 has 96 divisors (see below), whose sum is σ = 936230400. Its totient is φ = 166772736.

The previous prime is 427535947. The next prime is 427535989. The reversal of 427535948 is 849535724.

It is not an unprimeable number, because it can be changed into a prime (427535947) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1663436 + ... + 1663692.

It is an arithmetic number, because the mean of its divisors is an integer number (9752400).

Almost surely, 2427535948 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 427535948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468115200).

427535948 is an abundant number, since it is smaller than the sum of its proper divisors (508694452).

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

427535948 is a wasteful number, since it uses less digits than its factorization.

427535948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 397 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 47.

The square root of 427535948 is about 20676.9424238692. The cubic root of 427535948 is about 753.3397419422.

The spelling of 427535948 in words is "four hundred twenty-seven million, five hundred thirty-five thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 19 28 38 53 59 76 106 118 133 212 236 257 266 371 413 514 532 742 826 1007 1028 1121 1484 1652 1799 2014 2242 3127 3598 4028 4484 4883 6254 7049 7196 7847 9766 12508 13621 14098 15163 15694 19532 21889 27242 28196 30326 31388 34181 43778 54484 59413 60652 68362 87556 95347 106141 118826 136724 190694 212282 237652 258799 288097 381388 415891 424564 517598 576194 803639 831782 1035196 1152388 1607278 1663564 1811593 2016679 3214556 3623186 4033358 5625473 7246372 8066716 11250946 15269141 22501892 30538282 61076564 106883987 213767974 427535948