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498404448 = 25331633539
BaseRepresentation
bin11101101101010…
…000110001100000
31021201211120101000
4131231100301200
52010042420243
6121242312000
715231240123
oct3555206140
91251746330
10498404448
11236377703
1211aab8600
137c346a99
144a29c3ba
152db505d3
hex1db50c60

498404448 has 96 divisors (see below), whose sum is σ = 1463011200. Its totient is φ = 165068928.

The previous prime is 498404383. The next prime is 498404471. The reversal of 498404448 is 844404894.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139063 + ... + 142601.

It is an arithmetic number, because the mean of its divisors is an integer number (15239700).

Almost surely, 2498404448 is an apocalyptic number.

498404448 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 498404448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731505600).

498404448 is an abundant number, since it is smaller than the sum of its proper divisors (964606752).

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

498404448 is a wasteful number, since it uses less digits than its factorization.

498404448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3721 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 498404448 is about 22324.9736394021. The cubic root of 498404448 is about 792.8553660401.

The spelling of 498404448 in words is "four hundred ninety-eight million, four hundred four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 163 216 288 326 432 489 652 864 978 1304 1467 1956 2608 2934 3539 3912 4401 5216 5868 7078 7824 8802 10617 11736 14156 15648 17604 21234 23472 28312 31851 35208 42468 46944 56624 63702 70416 84936 95553 113248 127404 140832 169872 191106 254808 339744 382212 509616 576857 764424 1019232 1153714 1528848 1730571 2307428 3057696 3461142 4614856 5191713 6922284 9229712 10383426 13844568 15575139 18459424 20766852 27689136 31150278 41533704 55378272 62300556 83067408 124601112 166134816 249202224 498404448