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466888072 = 23721637307
BaseRepresentation
bin11011110101000…
…010010110001000
31012112112101000211
4123311002112020
51424010404242
6114155010504
714366324500
oct3365022610
91175471024
10466888072
1121a600a12
12110439a34
1375960841
1446016a00
152aec7317
hex1bd42588

466888072 has 48 divisors (see below), whose sum is σ = 1024727760. Its totient is φ = 198840096.

The previous prime is 466888069. The next prime is 466888091. The reversal of 466888072 is 270888664.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60243 + ... + 67549.

It is an arithmetic number, because the mean of its divisors is an integer number (21348495).

Almost surely, 2466888072 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 466888072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512363880).

466888072 is an abundant number, since it is smaller than the sum of its proper divisors (557839688).

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

466888072 is a wasteful number, since it uses less digits than its factorization.

466888072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7490 (or 7479 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 49.

The square root of 466888072 is about 21607.5929247105. The cubic root of 466888072 is about 775.7782384353.

The spelling of 466888072 in words is "four hundred sixty-six million, eight hundred eighty-eight thousand, seventy-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 163 196 326 392 652 1141 1304 2282 4564 7307 7987 9128 14614 15974 29228 31948 51149 58456 63896 102298 204596 358043 409192 716086 1191041 1432172 2382082 2864344 4764164 8337287 9528328 16674574 33349148 58361009 66698296 116722018 233444036 466888072