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494584240 = 24579139563
BaseRepresentation
bin11101011110101…
…100000110110000
31021110122111000211
4131132230012300
52003103143430
6121024353504
715153616363
oct3536540660
91243574024
10494584240
112341a8507
12119775894
137b609cc7
14499860da
152d64872a
hex1d7ac1b0

494584240 has 80 divisors (see below), whose sum is σ = 1174924800. Its totient is φ = 193579776.

The previous prime is 494584229. The next prime is 494584253. The reversal of 494584240 is 42485494.

494584240 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4945842402 = 489227140912755200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 494584193 and 494584202.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 878199 + ... + 878761.

It is an arithmetic number, because the mean of its divisors is an integer number (14686560).

Almost surely, 2494584240 is an apocalyptic number.

494584240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

494584240 is the 11120-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 494584240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587462400).

494584240 is an abundant number, since it is smaller than the sum of its proper divisors (680340560).

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

494584240 is a wasteful number, since it uses less digits than its factorization.

494584240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 494584240 is about 22239.2499873534. The cubic root of 494584240 is about 790.8244557421.

The spelling of 494584240 in words is "four hundred ninety-four million, five hundred eighty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 139 158 278 316 395 556 563 632 695 790 1112 1126 1264 1390 1580 2224 2252 2780 2815 3160 4504 5560 5630 6320 9008 10981 11120 11260 21962 22520 43924 44477 45040 54905 78257 87848 88954 109810 156514 175696 177908 219620 222385 313028 355816 391285 439240 444770 626056 711632 782570 878480 889540 1252112 1565140 1779080 3130280 3558160 6182303 6260560 12364606 24729212 30911515 49458424 61823030 98916848 123646060 247292120 494584240