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426404624 = 24149383467
BaseRepresentation
bin11001011010100…
…110101100010000
31002201100121011212
4121122212230100
51333124421444
6110151155252
713365244112
oct3132465420
91081317155
10426404624
111a9770118
12ba975b28
136a457c39
14408b93b2
152767c19e
hex196a6b10

426404624 has 40 divisors (see below), whose sum is σ = 835660800. Its totient is φ = 210766208.

The previous prime is 426404581. The next prime is 426404689.

426404624 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 912839 + ... + 913305.

It is an arithmetic number, because the mean of its divisors is an integer number (20891520).

Almost surely, 2426404624 is an apocalyptic number.

It is an amenable number.

426404624 is a deficient number, since it is larger than the sum of its proper divisors (409256176).

426404624 is a wasteful number, since it uses less digits than its factorization.

426404624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 426404624 is about 20649.5671625339. The cubic root of 426404624 is about 752.6746717985.

The spelling of 426404624 in words is "four hundred twenty-six million, four hundred four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 149 298 383 467 596 766 934 1192 1532 1868 2384 3064 3736 6128 7472 57067 69583 114134 139166 178861 228268 278332 357722 456536 556664 715444 913072 1113328 1430888 2861776 26650289 53300578 106601156 213202312 426404624