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426404664 = 233272120863
BaseRepresentation
bin11001011010100…
…110101100111000
31002201100121020100
4121122212230320
51333124422124
6110151155400
713365244200
oct3132465470
91081317210
10426404664
111a9770154
12ba975b60
136a457c6a
14408b9400
152767c1c9
hex196a6b38

426404664 has 72 divisors (see below), whose sum is σ = 1343403360. Its totient is φ = 121828896.

The previous prime is 426404581. The next prime is 426404689. The reversal of 426404664 is 466404624.

It is a happy number.

426404664 is a `hidden beast` number, since 4 + 2 + 640 + 4 + 6 + 6 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56904 + ... + 63959.

It is an arithmetic number, because the mean of its divisors is an integer number (18658380).

Almost surely, 2426404664 is an apocalyptic number.

It is an amenable number.

426404664 is an abundant number, since it is smaller than the sum of its proper divisors (916998696).

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

426404664 is a wasteful number, since it uses less digits than its factorization.

426404664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120889 (or 120875 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 426404664 is about 20649.5681310772. The cubic root of 426404664 is about 752.6746953340.

The spelling of 426404664 in words is "four hundred twenty-six million, four hundred four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 120863 241726 362589 483452 725178 846041 966904 1087767 1450356 1692082 2175534 2538123 2900712 3384164 4351068 5076246 5922287 6768328 7614369 8702136 10152492 11844574 15228738 17766861 20304984 23689148 30457476 35533722 47378296 53300583 60914952 71067444 106601166 142134888 213202332 426404664