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498829680 = 243253122349
BaseRepresentation
bin11101101110111…
…000100101110000
31021202122011200100
4131232320211300
52010200022210
6121255352400
715234660636
oct3556704560
91252564610
10498829680
11236638138
1211b082700
137c4654bb
144a36d356
152dbd65c0
hex1dbb8970

498829680 has 120 divisors (see below), whose sum is σ = 1729353600. Its totient is φ = 128724480.

The previous prime is 498829651. The next prime is 498829687. The reversal of 498829680 is 86928894.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498829687) 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, 11146 + ... + 33494.

It is an arithmetic number, because the mean of its divisors is an integer number (14411280).

Almost surely, 2498829680 is an apocalyptic number.

498829680 is a gapful number since it is divisible by the number (40) 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 498829680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864676800).

498829680 is an abundant number, since it is smaller than the sum of its proper divisors (1230523920).

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

498829680 is a wasteful number, since it uses less digits than its factorization.

498829680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22399 (or 22390 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 498829680 is about 22334.4952931558. The cubic root of 498829680 is about 793.0807864702.

The spelling of 498829680 in words is "four hundred ninety-eight million, eight hundred twenty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 279 310 360 372 465 496 558 620 720 744 930 1116 1240 1395 1488 1860 2232 2480 2790 3720 4464 5580 7440 11160 22320 22349 44698 67047 89396 111745 134094 178792 201141 223490 268188 335235 357584 402282 446980 536376 670470 692819 804564 893960 1005705 1072752 1340940 1385638 1609128 1787920 2011410 2078457 2681880 2771276 3218256 3464095 4022820 4156914 5363760 5542552 6235371 6928190 8045640 8313828 10392285 11085104 12470742 13856380 16091280 16627656 20784570 24941484 27712760 31176855 33255312 41569140 49882968 55425520 62353710 83138280 99765936 124707420 166276560 249414840 498829680