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467381161 = 13216632
BaseRepresentation
bin11011110110111…
…010101110101001
31012120110102102101
4123312322232221
51424122144121
6114213333401
714403450202
oct3366725651
91176412371
10467381161
1121a908425
12110637261
1375aa4100
14461045a9
152b073491
hex1bdbaba9

467381161 has 9 divisors (see below), whose sum is σ = 506403639. Its totient is φ = 431169336.

The previous prime is 467381111. The next prime is 467381179. The reversal of 467381161 is 161183764.

The square root of 467381161 is 21619.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 69139225 + 398241936 = 8315^2 + 19956^2 .

It is not a de Polignac number, because 467381161 - 29 = 467380649 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 467381161.

It is not an unprimeable number, because it can be changed into a prime (467381111) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 280216 + ... + 281878.

It is an arithmetic number, because the mean of its divisors is an integer number (56267071).

Almost surely, 2467381161 is an apocalyptic number.

467381161 is the 21619-th square number.

467381161 is the 10810-th centered octagonal number.

It is an amenable number.

467381161 is a deficient number, since it is larger than the sum of its proper divisors (39022478).

467381161 is an frugal number, since it uses more digits than its factorization.

467381161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3352 (or 1676 counting only the distinct ones).

The product of its digits is 24192, while the sum is 37.

The cubic root of 467381161 is about 776.0512468592.

The spelling of 467381161 in words is "four hundred sixty-seven million, three hundred eighty-one thousand, one hundred sixty-one".

Divisors: 1 13 169 1663 21619 281047 2765569 35952397 467381161