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466302056 = 231125361149
BaseRepresentation
bin11011110010110…
…011010001101000
31012111102121011112
4123302303101220
51423333131211
6114134245452
714361334133
oct3362632150
91174377145
10466302056
1121a240700
121101b6888
13757b6b9c
1445d0321a
152ae0d88b
hex1bcb3468

466302056 has 96 divisors (see below), whose sum is σ = 1001889000. Its totient is φ = 203174400.

The previous prime is 466302007. The next prime is 466302091. The reversal of 466302056 is 650203664.

It can be written as a sum of positive squares in 4 ways, for example, as 227104900 + 239197156 = 15070^2 + 15466^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3129470 + ... + 3129618.

Almost surely, 2466302056 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 466302056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500944500).

466302056 is an abundant number, since it is smaller than the sum of its proper divisors (535586944).

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

466302056 is a wasteful number, since it uses less digits than its factorization.

466302056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 466302056 is about 21594.0282485691. The cubic root of 466302056 is about 775.4535290632.

The spelling of 466302056 in words is "four hundred sixty-six million, three hundred two thousand, fifty-six".

Divisors: 1 2 4 8 11 22 44 53 61 88 106 121 122 149 212 242 244 298 424 484 488 583 596 671 968 1166 1192 1342 1639 2332 2684 3233 3278 4664 5368 6413 6466 6556 7381 7897 9089 12826 12932 13112 14762 15794 18029 18178 25652 25864 29524 31588 35563 36058 36356 51304 59048 63176 71126 72116 72712 86867 99979 142252 144232 173734 199958 284504 347468 391193 399916 481717 694936 782386 799832 955537 963434 1099769 1564772 1911074 1926868 2199538 3129544 3822148 3853736 4399076 5298887 7644296 8798152 10597774 21195548 42391096 58287757 116575514 233151028 466302056