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466506012 = 2237192391223
BaseRepresentation
bin11011110011100…
…101000100011100
31012111210221221110
4123303211010130
51423411143022
6114142502020
714363143560
oct3363450434
91174727843
10466506012
1121a36a965
12110294910
137585897b
1445d576a0
152ae4e00c
hex1bce511c

466506012 has 96 divisors (see below), whose sum is σ = 1316044800. Its totient is φ = 125641152.

The previous prime is 466505999. The next prime is 466506043. The reversal of 466506012 is 210605664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380833 + ... + 382055.

It is an arithmetic number, because the mean of its divisors is an integer number (13708800).

Almost surely, 2466506012 is an apocalyptic number.

466506012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466506012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658022400).

466506012 is an abundant number, since it is smaller than the sum of its proper divisors (849538788).

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

466506012 is a wasteful number, since it uses less digits than its factorization.

466506012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 466506012 is about 21598.7502416228. The cubic root of 466506012 is about 775.5665712030.

The spelling of 466506012 in words is "four hundred sixty-six million, five hundred six thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 239 266 399 478 532 717 798 956 1223 1434 1596 1673 2446 2868 3346 3669 4541 4892 5019 6692 7338 8561 9082 10038 13623 14676 17122 18164 20076 23237 25683 27246 31787 34244 46474 51366 54492 63574 69711 92948 95361 102732 127148 139422 162659 190722 278844 292297 325318 381444 487977 584594 650636 876891 975954 1169188 1753782 1951908 2046079 3507564 4092158 5553643 6138237 8184316 11107286 12276474 16660929 22214572 24552948 33321858 38875501 66643716 77751002 116626503 155502004 233253006 466506012