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466425696 = 25311716221
BaseRepresentation
bin11011110011010…
…001011101100000
31012111122212202210
4123303101131200
51423401110241
6114141042120
714362360452
oct3363213540
91174585683
10466425696
1121a315590
12110256340
137582b249
1445d362d2
152ae35316
hex1bcd1760

466425696 has 96 divisors (see below), whose sum is σ = 1354703616. Its totient is φ = 139328000.

The previous prime is 466425667. The next prime is 466425709. The reversal of 466425696 is 696524664.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71866 + ... + 78086.

It is an arithmetic number, because the mean of its divisors is an integer number (14111496).

Almost surely, 2466425696 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 466425696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677351808).

466425696 is an abundant number, since it is smaller than the sum of its proper divisors (888277920).

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

466425696 is a wasteful number, since it uses less digits than its factorization.

466425696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6316 (or 6308 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 48.

The square root of 466425696 is about 21596.8908873477. The cubic root of 466425696 is about 775.5220601797.

The spelling of 466425696 in words is "four hundred sixty-six million, four hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 71 88 96 132 142 176 213 264 284 352 426 528 568 781 852 1056 1136 1562 1704 2272 2343 3124 3408 4686 6221 6248 6816 9372 12442 12496 18663 18744 24884 24992 37326 37488 49768 68431 74652 74976 99536 136862 149304 199072 205293 273724 298608 410586 441691 547448 597216 821172 883382 1094896 1325073 1642344 1766764 2189792 2650146 3284688 3533528 4858601 5300292 6569376 7067056 9717202 10600584 14134112 14575803 19434404 21201168 29151606 38868808 42402336 58303212 77737616 116606424 155475232 233212848 466425696