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495186048 = 273476823
BaseRepresentation
bin11101100000111…
…111000010000000
31021111210001120000
4131200333002000
52003231423143
6121045320000
715162004050
oct3540770200
91244701500
10495186048
11234579675
12119a06000
137b78abc6
1449aa1560
152d716bd3
hex1d83f080

495186048 has 160 divisors (see below), whose sum is σ = 1684436160. Its totient is φ = 141460992.

The previous prime is 495185981. The next prime is 495186061. The reversal of 495186048 is 840681594.

It is a junction number, because it is equal to n+sod(n) for n = 495185994 and 495186012.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69165 + ... + 75987.

It is an arithmetic number, because the mean of its divisors is an integer number (10527726).

Almost surely, 2495186048 is an apocalyptic number.

495186048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495186048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842218080).

495186048 is an abundant number, since it is smaller than the sum of its proper divisors (1189250112).

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

495186048 is an equidigital number, since it uses as much as digits as its factorization.

495186048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6856 (or 6835 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 495186048 is about 22252.7761863548. The cubic root of 495186048 is about 791.1450830095.

The spelling of 495186048 in words is "four hundred ninety-five million, one hundred eighty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 756 864 896 1008 1134 1152 1296 1344 1512 1728 2016 2268 2592 2688 3024 3456 4032 4536 5184 6048 6823 8064 9072 10368 12096 13646 18144 20469 24192 27292 36288 40938 47761 54584 61407 72576 81876 95522 109168 122814 143283 163752 184221 191044 218336 245628 286566 327504 368442 382088 429849 436672 491256 552663 573132 655008 736884 764176 859698 873344 982512 1105326 1146264 1289547 1310016 1473768 1528352 1719396 1965024 2210652 2292528 2579094 2620032 2947536 3056704 3438792 3868641 3930048 4421304 4585056 5158188 5895072 6113408 6877584 7737282 7860096 8842608 9170112 10316376 11790144 13755168 15474564 17685216 18340224 20632752 23580288 27510336 30949128 35370432 41265504 55020672 61898256 70740864 82531008 123796512 165062016 247593024 495186048