Search a number
-
+
458000245 = 5374096053
BaseRepresentation
bin11011010011001…
…000011101110101
31011220210211020001
4123103020131311
51414222001440
6113240311301
714230636453
oct3323103565
91156724201
10458000245
112155903aa
12109472531
1373b6b281
1444b819d3
152a31db9a
hex1b4c8775

458000245 has 16 divisors (see below), whose sum is σ = 565927920. Its totient is φ = 355567104.

The previous prime is 458000201. The next prime is 458000297. The reversal of 458000245 is 542000854.

458000245 is a nontrivial binomial coefficient, being equal to C(30266, 2).

It can be written as a sum of positive squares in 8 ways, for example, as 9492561 + 448507684 = 3081^2 + 21178^2 .

It is a cyclic number.

It is not a de Polignac number, because 458000245 - 29 = 457999733 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72639 + ... + 78691.

It is an arithmetic number, because the mean of its divisors is an integer number (35370495).

Almost surely, 2458000245 is an apocalyptic number.

458000245 is the 30265-th triangular number and also the 15133-rd hexagonal number.

458000245 is the 10089-th centered nonagonal number.

It is an amenable number.

458000245 is a deficient number, since it is larger than the sum of its proper divisors (107927675).

458000245 is a wasteful number, since it uses less digits than its factorization.

458000245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6504.

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 458000245 is about 21400.9402830810. The cubic root of 458000245 is about 770.8240152627.

The spelling of 458000245 in words is "four hundred fifty-eight million, two hundred forty-five", and thus it is an aban number.

Divisors: 1 5 37 185 409 2045 6053 15133 30265 75665 223961 1119805 2475677 12378385 91600049 458000245