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498095172 = 2232171934217
BaseRepresentation
bin11101101100000…
…101010001000100
31021201020212010100
4131230011101010
52010003021142
6121231524100
715225511341
oct3554052104
91251225110
10498095172
11236186303
1211a989630
137c269093
144a21b7c8
152daddb4c
hex1db05444

498095172 has 72 divisors (see below), whose sum is σ = 1340362296. Its totient is φ = 155418624.

The previous prime is 498095161. The next prime is 498095173. The reversal of 498095172 is 271590894.

498095172 is a `hidden beast` number, since 498 + 0 + 95 + 1 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 171714816 + 326380356 = 13104^2 + 18066^2 .

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 not an unprimeable number, because it can be changed into a prime (498095173) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116008 + ... + 120224.

It is an arithmetic number, because the mean of its divisors is an integer number (18616143).

Almost surely, 2498095172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 498095172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670181148).

498095172 is an abundant number, since it is smaller than the sum of its proper divisors (842267124).

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

498095172 is a wasteful number, since it uses less digits than its factorization.

498095172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4437 (or 4432 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 498095172 is about 22318.0458822004. The cubic root of 498095172 is about 792.6913346828.

The spelling of 498095172 in words is "four hundred ninety-eight million, ninety-five thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 193 204 306 386 579 612 772 1158 1737 2316 3281 3474 4217 6562 6948 8434 9843 12651 13124 16868 19686 25302 29529 37953 39372 50604 59058 71689 75906 118116 143378 151812 215067 286756 430134 645201 813881 860268 1290402 1627762 2441643 2580804 3255524 4883286 7324929 9766572 13835977 14649858 27671954 29299716 41507931 55343908 83015862 124523793 166031724 249047586 498095172