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426866976 = 2533557887
BaseRepresentation
bin11001011100010…
…111100100100000
31002202020002102000
4121130113210200
51333234220401
6110205124000
713402211064
oct3134274440
91082202360
10426866976
111a9a56528
12bab59600
136a58a513
1440999aa4
152771e186
hex19717920

426866976 has 96 divisors (see below), whose sum is σ = 1248670080. Its totient is φ = 141873408.

The previous prime is 426866963. The next prime is 426867011. The reversal of 426866976 is 679668624.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×4268669763 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 15 ways as a sum of consecutive naturals, for example, 480805 + ... + 481691.

It is an arithmetic number, because the mean of its divisors is an integer number (13006980).

Almost surely, 2426866976 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 426866976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624335040).

426866976 is an abundant number, since it is smaller than the sum of its proper divisors (821803104).

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

426866976 is a wasteful number, since it uses less digits than its factorization.

426866976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1449 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 426866976 is about 20660.7593277692. The cubic root of 426866976 is about 752.9466161104.

The spelling of 426866976 in words is "four hundred twenty-six million, eight hundred sixty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 557 864 887 1114 1671 1774 2228 2661 3342 3548 4456 5013 5322 6684 7096 7983 8912 10026 10644 13368 14192 15039 15966 17824 20052 21288 23949 26736 28384 30078 31932 40104 42576 47898 53472 60156 63864 80208 85152 95796 120312 127728 160416 191592 240624 255456 383184 481248 494059 766368 988118 1482177 1976236 2964354 3952472 4446531 5928708 7904944 8893062 11857416 13339593 15809888 17786124 23714832 26679186 35572248 47429664 53358372 71144496 106716744 142288992 213433488 426866976