Search a number
-
+
508290417 = 33132114251
BaseRepresentation
bin11110010010111…
…110010101110001
31022102102211101000
4132102332111301
52020110243132
6122234232213
715411253155
oct3622762561
91272384330
10508290417
11240a0a128
12122285669
13813c877b
144b713065
152e95487c
hex1e4be571

508290417 has 16 divisors (see below), whose sum is σ = 753645760. Its totient is φ = 338580000.

The previous prime is 508290389. The next prime is 508290427. The reversal of 508290417 is 714092805.

It is not a de Polignac number, because 508290417 - 215 = 508257649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (508290427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28542 + ... + 42792.

It is an arithmetic number, because the mean of its divisors is an integer number (47102860).

Almost surely, 2508290417 is an apocalyptic number.

It is an amenable number.

508290417 is a deficient number, since it is larger than the sum of its proper divisors (245355343).

508290417 is a wasteful number, since it uses less digits than its factorization.

508290417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15581 (or 15575 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 508290417 is about 22545.2970040317. The cubic root of 508290417 is about 798.0632405080.

The spelling of 508290417 in words is "five hundred eight million, two hundred ninety thousand, four hundred seventeen".

Divisors: 1 3 9 27 1321 3963 11889 14251 35667 42753 128259 384777 18825571 56476713 169430139 508290417