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498020472 = 233223311967
BaseRepresentation
bin11101101011110…
…011000001111000
31021201010001122200
4131223303001320
52004443123342
6121230150200
715225050505
oct3553630170
91251101580
10498020472
11236135174
1211a952360
137c241091
144a1dc4ac
152dac694c
hex1daf3078

498020472 has 96 divisors (see below), whose sum is σ = 1413434880. Its totient is φ = 158114880.

The previous prime is 498020461. The next prime is 498020573. The reversal of 498020472 is 274020894.

It is a super-2 number, since 2×4980204722 = 496048781062205568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 514533 + ... + 515499.

It is an arithmetic number, because the mean of its divisors is an integer number (14723280).

Almost surely, 2498020472 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 498020472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706717440).

498020472 is an abundant number, since it is smaller than the sum of its proper divisors (915414408).

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

498020472 is a wasteful number, since it uses less digits than its factorization.

498020472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 498020472 is about 22316.3722858353. The cubic root of 498020472 is about 792.6517057080.

It can be divided in two parts, 4980 and 20472, that added together give a palindrome (25452).

The spelling of 498020472 in words is "four hundred ninety-eight million, twenty thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 311 414 552 622 828 933 967 1244 1656 1866 1934 2488 2799 2901 3732 3868 5598 5802 7153 7464 7736 8703 11196 11604 14306 17406 21459 22241 22392 23208 28612 34812 42918 44482 57224 64377 66723 69624 85836 88964 128754 133446 171672 177928 200169 257508 266892 300737 400338 515016 533784 601474 800676 902211 1202948 1601352 1804422 2405896 2706633 3608844 5413266 6916951 7217688 10826532 13833902 20750853 21653064 27667804 41501706 55335608 62252559 83003412 124505118 166006824 249010236 498020472