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466857930 = 235711219967
BaseRepresentation
bin11011110100111…
…010111111001010
31012112110211200110
4123310322333022
51424003423210
6114154215150
714366140560
oct3364727712
91175424613
10466857930
1121a590300
121104244b6
137594cbc6
1446009a30
152aebd420
hex1bd3afca

466857930 has 192 divisors, whose sum is σ = 1483130880. Its totient is φ = 91808640.

The previous prime is 466857901. The next prime is 466857977. The reversal of 466857930 is 39758664.

It is a self number, because there is not a number n which added to its sum of digits gives 466857930.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 482307 + ... + 483273.

It is an arithmetic number, because the mean of its divisors is an integer number (7724640).

Almost surely, 2466857930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466857930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741565440).

466857930 is an abundant number, since it is smaller than the sum of its proper divisors (1016272950).

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

466857930 is a wasteful number, since it uses less digits than its factorization.

466857930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 466857930 is about 21606.8954271547. The cubic root of 466857930 is about 775.7615434911.

It can be divided in two parts, 46685 and 7930, that added together give a triangular number (54615 = T330).

The spelling of 466857930 in words is "four hundred sixty-six million, eight hundred fifty-seven thousand, nine hundred thirty".