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466147164 = 223723376521
BaseRepresentation
bin11011110010001…
…101011101011100
31012111010201200210
4123302031131130
51423313202124
6114131052420
714360120430
oct3362153534
91174121623
10466147164
1121a14529a
12110141110
1375761532
1445ca29c0
152adcca29
hex1bc8d75c

466147164 has 96 divisors (see below), whose sum is σ = 1332366336. Its totient is φ = 123932160.

The previous prime is 466147139. The next prime is 466147169. The reversal of 466147164 is 461741664.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466147169) 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, 68224 + ... + 74744.

It is an arithmetic number, because the mean of its divisors is an integer number (13878816).

Almost surely, 2466147164 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 466147164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666183168).

466147164 is an abundant number, since it is smaller than the sum of its proper divisors (866219172).

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

466147164 is a wasteful number, since it uses less digits than its factorization.

466147164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6595 (or 6593 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 466147164 is about 21590.4414961807. The cubic root of 466147164 is about 775.3676585077.

The spelling of 466147164 in words is "four hundred sixty-six million, one hundred forty-seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 37 42 46 69 74 84 92 111 138 148 161 222 259 276 322 444 483 518 644 777 851 966 1036 1554 1702 1932 2553 3108 3404 5106 5957 6521 10212 11914 13042 17871 19563 23828 26084 35742 39126 45647 71484 78252 91294 136941 149983 182588 241277 273882 299966 449949 482554 547764 599932 723831 899898 965108 1049881 1447662 1688939 1799796 2099762 2895324 3149643 3377878 4199524 5066817 5549371 6299286 6755756 10133634 11098742 12598572 16648113 20267268 22197484 33296226 38845597 66592452 77691194 116536791 155382388 233073582 466147164