Search a number
-
+
456460145 = 5293148001
BaseRepresentation
bin11011001101010…
…000011101110001
31011210220120121022
4123031100131301
51413323211040
6113143305225
714211563411
oct3315203561
91153816538
10456460145
11214729299
12108a4b215
137374c27b
14448a0641
152a1176b5
hex1b350771

456460145 has 8 divisors (see below), whose sum is σ = 566640360. Its totient is φ = 352576000.

The previous prime is 456460117. The next prime is 456460153. The reversal of 456460145 is 541064654.

It can be written as a sum of positive squares in 4 ways, for example, as 27804529 + 428655616 = 5273^2 + 20704^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 456460145 - 228 = 188024689 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1573856 + ... + 1574145.

It is an arithmetic number, because the mean of its divisors is an integer number (70830045).

Almost surely, 2456460145 is an apocalyptic number.

It is an amenable number.

456460145 is a deficient number, since it is larger than the sum of its proper divisors (110180215).

456460145 is a wasteful number, since it uses less digits than its factorization.

456460145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3148035.

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 456460145 is about 21364.9279193729. The cubic root of 456460145 is about 769.9590381313.

The spelling of 456460145 in words is "four hundred fifty-six million, four hundred sixty thousand, one hundred forty-five".

Divisors: 1 5 29 145 3148001 15740005 91292029 456460145