[go: up one dir, main page]

Search a number
-
+
490046769 = 324721572
BaseRepresentation
bin11101001101011…
…000010100110001
31021011002221210100
4131031120110301
52000422444034
6120343223013
715100220532
oct3515302461
91234087710
10490046769
11231689433
12118147a69
137a6ab904
1449124689
152d04e099
hex1d358531

490046769 has 27 divisors (see below), whose sum is σ = 727862187. Its totient is φ = 317710224.

The previous prime is 490046747. The next prime is 490046771. The reversal of 490046769 is 967640094.

The square root of 490046769 is 22137.

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., 143640225 + 346406544 = 11985^2 + 18612^2 .

It is not a de Polignac number, because 490046769 - 221 = 487949617 is a prime.

It is a super-2 number, since 2×4900467692 = 480291671614678722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (490046779) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3121239 + ... + 3121395.

Almost surely, 2490046769 is an apocalyptic number.

490046769 is the 22137-th square number.

490046769 is the 11069-th centered octagonal number.

It is an amenable number.

490046769 is a deficient number, since it is larger than the sum of its proper divisors (237815418).

490046769 is an equidigital number, since it uses as much as digits as its factorization.

490046769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The cubic root of 490046769 is about 788.3985981255.

The spelling of 490046769 in words is "four hundred ninety million, forty-six thousand, seven hundred sixty-nine".

Divisors: 1 3 9 47 141 157 423 471 1413 2209 6627 7379 19881 22137 24649 66411 73947 221841 346813 1040439 1158503 3121317 3475509 10426527 54449641 163348923 490046769