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427095774 = 23372774079
BaseRepresentation
bin11001011101001…
…111011011011110
31002202122201021000
4121131033123132
51333314031044
6110214051130
713404153120
oct3135173336
91082581230
10427095774
111aa0a2416
12bb049aa6
136a63a6c1
1440a19210
1527766d69
hex1974f6de

427095774 has 64 divisors (see below), whose sum is σ = 1088870400. Its totient is φ = 121557024.

The previous prime is 427095761. The next prime is 427095821. The reversal of 427095774 is 477590724.

427095774 is a `hidden beast` number, since 4 + 2 + 70 + 9 + 577 + 4 = 666.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 102667 + ... + 106745.

It is an arithmetic number, because the mean of its divisors is an integer number (17013600).

Almost surely, 2427095774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427095774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544435200).

427095774 is an abundant number, since it is smaller than the sum of its proper divisors (661774626).

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

427095774 is a wasteful number, since it uses less digits than its factorization.

427095774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4374 (or 4368 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 427095774 is about 20666.2956041957. The cubic root of 427095774 is about 753.0811169578.

The spelling of 427095774 in words is "four hundred twenty-seven million, ninety-five thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 277 378 554 831 1662 1939 2493 3878 4079 4986 5817 7479 8158 11634 12237 14958 17451 24474 28553 34902 36711 52353 57106 73422 85659 104706 110133 171318 220266 256977 513954 770931 1129883 1541862 2259766 3389649 6779298 7909181 10168947 15818362 20337894 23727543 30506841 47455086 61013682 71182629 142365258 213547887 427095774