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494142444 = 2236971747
BaseRepresentation
bin11101011101000…
…000001111101100
31021102211001000000
4131131000033230
52003000024234
6121011104300
715150066345
oct3535001754
91242731000
10494142444
11233a26594
121195a2090
137b4b3ba3
14498ad0cc
152d5ac899
hex1d7403ec

494142444 has 84 divisors (see below), whose sum is σ = 1310646904. Its totient is φ = 162922752.

The previous prime is 494142431. The next prime is 494142457. The reversal of 494142444 is 444241494.

It is an interprime number because it is at equal distance from previous prime (494142431) and next prime (494142457).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 494142399 and 494142408.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 281979 + ... + 283725.

Almost surely, 2494142444 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 494142444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655323452).

494142444 is an abundant number, since it is smaller than the sum of its proper divisors (816504460).

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

494142444 is a wasteful number, since it uses less digits than its factorization.

494142444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1849 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 494142444 is about 22229.3149692023. The cubic root of 494142444 is about 790.5889130138.

The spelling of 494142444 in words is "four hundred ninety-four million, one hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 97 108 162 194 243 291 324 388 486 582 729 873 972 1164 1458 1746 1747 2619 2916 3492 3494 5238 5241 6988 7857 10476 10482 15714 15723 20964 23571 31428 31446 47142 47169 62892 70713 94284 94338 141426 141507 169459 188676 282852 283014 338918 424521 508377 566028 677836 849042 1016754 1273563 1525131 1698084 2033508 2547126 3050262 4575393 5094252 6100524 9150786 13726179 18301572 27452358 41178537 54904716 82357074 123535611 164714148 247071222 494142444