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490017744 = 24323123541
BaseRepresentation
bin11101001101010…
…001001111010000
31021011001110222100
4131031101033100
52000421031434
6120342440400
715100040106
oct3515211720
91234043870
10490017744
11231669647
12118133100
137a69b638
1449117c76
152d045699
hex1d3513d0

490017744 has 90 divisors (see below), whose sum is σ = 1417434018. Its totient is φ = 158025600.

The previous prime is 490017721. The next prime is 490017757. The reversal of 490017744 is 447710094.

It can be written as a sum of positive squares in only one way, i.e., 403527744 + 86490000 = 20088^2 + 9300^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 490017699 and 490017708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 136614 + ... + 140154.

Almost surely, 2490017744 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 490017744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708717009).

490017744 is an abundant number, since it is smaller than the sum of its proper divisors (927416274).

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

490017744 is a wasteful number, since it uses less digits than its factorization.

490017744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3617 (or 3577 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 490017744 is about 22136.3444136560. The cubic root of 490017744 is about 788.3830324539.

The spelling of 490017744 in words is "four hundred ninety million, seventeen thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 961 1116 1488 1922 2232 2883 3541 3844 4464 5766 7082 7688 8649 10623 11532 14164 15376 17298 21246 23064 28328 31869 34596 42492 46128 56656 63738 69192 84984 109771 127476 138384 169968 219542 254952 329313 439084 509904 658626 878168 987939 1317252 1756336 1975878 2634504 3402901 3951756 5269008 6805802 7903512 10208703 13611604 15807024 20417406 27223208 30626109 40834812 54446416 61252218 81669624 122504436 163339248 245008872 490017744