Search a number
-
+
458163828 = 223212726773
BaseRepresentation
bin11011010011110…
…000011001110100
31011221010010121200
4123103300121310
51414242220303
6113244012500
714232220413
oct3323603164
91157103550
10458163828
112156922a1
12109531130
1373bc7875
1444bc547a
152a3523a3
hex1b4f0674

458163828 has 18 divisors (see below), whose sum is σ = 1158136434. Its totient is φ = 152721264.

The previous prime is 458163809. The next prime is 458163829. The reversal of 458163828 is 828361854.

458163828 is a `hidden beast` number, since 4 + 5 + 8 + 1 + 638 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 232623504 + 225540324 = 15252^2 + 15018^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×4581638282 = 419828186575227168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (458163829) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6363351 + ... + 6363422.

It is an arithmetic number, because the mean of its divisors is an integer number (64340913).

Almost surely, 2458163828 is an apocalyptic number.

It is an amenable number.

458163828 is an abundant number, since it is smaller than the sum of its proper divisors (699972606).

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

458163828 is a wasteful number, since it uses less digits than its factorization.

458163828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12726783 (or 12726778 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 458163828 is about 21404.7618066635. The cubic root of 458163828 is about 770.9157755453.

The spelling of 458163828 in words is "four hundred fifty-eight million, one hundred sixty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 12726773 25453546 38180319 50907092 76360638 114540957 152721276 229081914 458163828