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466266016 = 2553893089
BaseRepresentation
bin11011110010101…
…010011110100000
31012111100202201201
4123302222132200
51423331003031
6114133410544
714361124066
oct3362523640
91174322651
10466266016
1121a216617
12110199a54
13757a3668
1445cd4036
152ae02d61
hex1bcaa7a0

466266016 has 48 divisors (see below), whose sum is σ = 946096200. Its totient is φ = 226091008.

The previous prime is 466266013. The next prime is 466266019. The reversal of 466266016 is 610662664.

It is an interprime number because it is at equal distance from previous prime (466266013) and next prime (466266019).

It can be written as a sum of positive squares in 4 ways, for example, as 448592400 + 17673616 = 21180^2 + 4204^2 .

It is not an unprimeable number, because it can be changed into a prime (466266011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149400 + ... + 152488.

Almost surely, 2466266016 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 466266016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473048100).

466266016 is an abundant number, since it is smaller than the sum of its proper divisors (479830184).

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

466266016 is a wasteful number, since it uses less digits than its factorization.

466266016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3241 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 466266016 is about 21593.1937424736. The cubic root of 466266016 is about 775.4335505501.

The spelling of 466266016 in words is "four hundred sixty-six million, two hundred sixty-six thousand, sixteen".

Divisors: 1 2 4 8 16 32 53 89 106 178 212 356 424 712 848 1424 1696 2848 3089 4717 6178 9434 12356 18868 24712 37736 49424 75472 98848 150944 163717 274921 327434 549842 654868 1099684 1309736 2199368 2619472 4398736 5238944 8797472 14570813 29141626 58283252 116566504 233133008 466266016