Search a number
-
+
464912316 = 2232111174021
BaseRepresentation
bin11011101101011…
…111111110111100
31012101210222210200
4123231133332330
51423004143231
6114044403500
714343455331
oct3355377674
91171728720
10464912316
11219481560
1210b846590
137541b45b
1445a60988
152ac36be6
hex1bb5ffbc

464912316 has 36 divisors (see below), whose sum is σ = 1282032024. Its totient is φ = 140882400.

The previous prime is 464912309. The next prime is 464912341. The reversal of 464912316 is 613219464.

464912316 is a `hidden beast` number, since 4 + 649 + 1 + 2 + 3 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4649123162 = 432286923136967712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 586615 + ... + 587406.

Almost surely, 2464912316 is an apocalyptic number.

It is an amenable number.

464912316 is an abundant number, since it is smaller than the sum of its proper divisors (817119708).

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

464912316 is a wasteful number, since it uses less digits than its factorization.

464912316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174042 (or 1174037 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 464912316 is about 21561.8254329266. The cubic root of 464912316 is about 774.6823900077.

The spelling of 464912316 in words is "four hundred sixty-four million, nine hundred twelve thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1174021 2348042 3522063 4696084 7044126 10566189 12914231 14088252 21132378 25828462 38742693 42264756 51656924 77485386 116228079 154970772 232456158 464912316