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466063052 = 2271331103401
BaseRepresentation
bin11011110001111…
…000111011001100
31012110222110022112
4123301320323030
51423303004202
6114125203152
714356320260
oct3361707314
91173873275
10466063052
1121a098084
121101004b8
1375732170
1445c800a0
152adb2b52
hex1bc78ecc

466063052 has 96 divisors (see below), whose sum is σ = 1048879104. Its totient is φ = 176256000.

The previous prime is 466063043. The next prime is 466063057. The reversal of 466063052 is 250360664.

It is a super-3 number, since 3×4660630523 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (466063057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1162052 + ... + 1162452.

It is an arithmetic number, because the mean of its divisors is an integer number (10925824).

Almost surely, 2466063052 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 466063052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524439552).

466063052 is an abundant number, since it is smaller than the sum of its proper divisors (582816052).

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

466063052 is a wasteful number, since it uses less digits than its factorization.

466063052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 557 counting only the distinct ones).

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

The square root of 466063052 is about 21588.4935092748. The cubic root of 466063052 is about 775.3210196974.

The spelling of 466063052 in words is "four hundred sixty-six million, sixty-three thousand, fifty-two".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 103 124 182 206 217 364 401 403 412 434 721 802 806 868 1339 1442 1604 1612 2678 2807 2821 2884 3193 5213 5356 5614 5642 6386 9373 10426 11228 11284 12431 12772 18746 20852 22351 24862 36491 37492 41303 41509 44702 49724 72982 82606 83018 87017 89404 145964 161603 165212 166036 174034 289121 290563 323206 348068 536939 578242 581126 646412 1073878 1131221 1156484 1162252 1280393 2147756 2262442 2560786 3758573 4524884 5121572 7517146 8962751 15034292 16645109 17925502 33290218 35851004 66580436 116515763 233031526 466063052