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493434480 = 243571126701
BaseRepresentation
bin11101011010010…
…011011001110000
31021101111001212010
4131122103121300
52002304400410
6120544002520
715141060330
oct3532233160
91241431763
10493434480
112335926a0
12119300440
137b2c6886
14497670c0
152d4bcc20
hex1d693670

493434480 has 160 divisors (see below), whose sum is σ = 1907163648. Its totient is φ = 102528000.

The previous prime is 493434457. The next prime is 493434481. The reversal of 493434480 is 84434394.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493434481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5130 + ... + 31830.

Almost surely, 2493434480 is an apocalyptic number.

493434480 is a gapful number since it is divisible by the number (40) 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 493434480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953581824).

493434480 is an abundant number, since it is smaller than the sum of its proper divisors (1413729168).

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

493434480 is a wasteful number, since it uses less digits than its factorization.

493434480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26735 (or 26729 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 493434480 is about 22213.3851540012. The cubic root of 493434480 is about 790.2111703815.

The spelling of 493434480 in words is "four hundred ninety-three million, four hundred thirty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 770 840 880 924 1155 1232 1320 1540 1680 1848 2310 2640 3080 3696 4620 6160 9240 18480 26701 53402 80103 106804 133505 160206 186907 213608 267010 293711 320412 373814 400515 427216 534020 560721 587422 640824 747628 801030 881133 934535 1068040 1121442 1174844 1281648 1468555 1495256 1602060 1762266 1869070 2055977 2136080 2242884 2349688 2803605 2937110 2990512 3204120 3524532 3738140 4111954 4405665 4485768 4699376 5607210 5874220 6167931 6408240 7049064 7476280 8223908 8811330 8971536 10279885 11214420 11748440 12335862 14098128 14952560 16447816 17622660 20559770 22428840 23496880 24671724 30839655 32895632 35245320 41119540 44857680 49343448 61679310 70490640 82239080 98686896 123358620 164478160 246717240 493434480