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492989490 = 23457212421
BaseRepresentation
bin11101011000100…
…110110000110010
31021100122110110000
4131120212300302
52002201130430
6120530250430
715134225100
oct3530466062
91240573400
10492989490
11233309334
12119126a16
137b19c176
144968cc70
152d430e60
hex1d626c32

492989490 has 120 divisors (see below), whose sum is σ = 1542141612. Its totient is φ = 112674240.

The previous prime is 492989461. The next prime is 492989501. The reversal of 492989490 is 94989294.

It can be written as a sum of positive squares in 2 ways, for example, as 466948881 + 26040609 = 21609^2 + 5103^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 33480 + ... + 45900.

Almost surely, 2492989490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492989490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771070806).

492989490 is an abundant number, since it is smaller than the sum of its proper divisors (1049152122).

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

492989490 is a wasteful number, since it uses less digits than its factorization.

492989490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12454 (or 12438 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 492989490 is about 22203.3666366162. The cubic root of 492989490 is about 789.9735557030.

The spelling of 492989490 in words is "four hundred ninety-two million, nine hundred eighty-nine thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 81 90 98 105 126 135 147 162 189 210 245 270 294 315 378 405 441 490 567 630 735 810 882 945 1134 1323 1470 1890 2205 2646 2835 3969 4410 5670 6615 7938 12421 13230 19845 24842 37263 39690 62105 74526 86947 111789 124210 173894 186315 223578 260841 335367 372630 434735 521682 558945 608629 670734 782523 869470 1006101 1117890 1217258 1304205 1565046 1676835 1825887 2012202 2347569 2608410 3043145 3353670 3651774 3912615 4695138 5030505 5477661 6086290 7042707 7825230 9129435 10061010 10955322 11737845 14085414 16432983 18258870 23475690 27388305 32865966 35213535 49298949 54776610 70427070 82164915 98597898 164329830 246494745 492989490