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498380652 = 2232711237817
BaseRepresentation
bin11101101101001…
…010111101101100
31021201210100201200
4131231022331230
52010041140102
6121242005500
715231110550
oct3555127554
91251710650
10498380652
11236360840
1211aaa6890
137c338cc3
144a293860
152db4851c
hex1db4af6c

498380652 has 144 divisors (see below), whose sum is σ = 1639153152. Its totient is φ = 123805440.

The previous prime is 498380651. The next prime is 498380669. The reversal of 498380652 is 256083894.

It is a junction number, because it is equal to n+sod(n) for n = 498380598 and 498380607.

It is not an unprimeable number, because it can be changed into a prime (498380651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59848 + ... + 67664.

It is an arithmetic number, because the mean of its divisors is an integer number (11383008).

Almost surely, 2498380652 is an apocalyptic number.

498380652 is a gapful number since it is divisible by the number (42) 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 498380652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819576576).

498380652 is an abundant number, since it is smaller than the sum of its proper divisors (1140772500).

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

498380652 is a wasteful number, since it uses less digits than its factorization.

498380652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7868 (or 7863 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 498380652 is about 22324.4406872826. The cubic root of 498380652 is about 792.8427477160.

The spelling of 498380652 in words is "four hundred ninety-eight million, three hundred eighty thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 23 28 33 36 42 44 46 63 66 69 77 84 92 99 126 132 138 154 161 198 207 231 252 253 276 308 322 396 414 462 483 506 644 693 759 828 924 966 1012 1386 1449 1518 1771 1932 2277 2772 2898 3036 3542 4554 5313 5796 7084 7817 9108 10626 15634 15939 21252 23451 31268 31878 46902 54719 63756 70353 85987 93804 109438 140706 164157 171974 179791 218876 257961 281412 328314 343948 359582 492471 515922 539373 601909 656628 719164 773883 984942 1031844 1078746 1203818 1258537 1547766 1618119 1805727 1969884 1977701 2157492 2407636 2517074 3095532 3236238 3611454 3775611 3955402 5034148 5417181 5933103 6472476 7222908 7551222 7910804 10834362 11326833 11866206 13843907 15102444 17799309 21668724 22653666 23732412 27687814 35598618 41531721 45307332 55375628 71197236 83063442 124595163 166126884 249190326 498380652