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490054400 = 2852116961
BaseRepresentation
bin11101001101011…
…010001100000000
31021011010100020222
4131031122030000
52000423220100
6120343322212
715100252013
oct3515321400
91234110228
10490054400
11231694140
12118150368
137a6b2224
144912737a
152d051485
hex1d35a300

490054400 has 108 divisors (see below), whose sum is σ = 1323420504. Its totient is φ = 178176000.

The previous prime is 490054373. The next prime is 490054451. The reversal of 490054400 is 4450094.

It is a self number, because there is not a number n which added to its sum of digits gives 490054400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66920 + ... + 73880.

Almost surely, 2490054400 is an apocalyptic number.

490054400 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 490054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661710252).

490054400 is an abundant number, since it is smaller than the sum of its proper divisors (833366104).

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

490054400 is a wasteful number, since it uses less digits than its factorization.

490054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6998 (or 6979 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 490054400 is about 22137.1723578238. The cubic root of 490054400 is about 788.4026904141.

The spelling of 490054400 in words is "four hundred ninety million, fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 128 160 176 200 220 256 275 320 352 400 440 550 640 704 800 880 1100 1280 1408 1600 1760 2200 2816 3200 3520 4400 6400 6961 7040 8800 13922 14080 17600 27844 34805 35200 55688 69610 70400 76571 111376 139220 153142 174025 222752 278440 306284 348050 382855 445504 556880 612568 696100 765710 891008 1113760 1225136 1392200 1531420 1782016 1914275 2227520 2450272 2784400 3062840 3828550 4455040 4900544 5568800 6125680 7657100 8910080 9801088 11137600 12251360 15314200 19602176 22275200 24502720 30628400 44550400 49005440 61256800 98010880 122513600 245027200 490054400