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490561920 = 273459463
BaseRepresentation
bin11101001111010…
…110000110000000
31021012002010110000
4131033112012000
52001040440140
6120402240000
715104464452
oct3517260600
91235063400
10490561920
11231a00482
12118356000
137a82c234
144921a2d2
152d101a30
hex1d3d6180

490561920 has 160 divisors (see below), whose sum is σ = 1752070320. Its totient is φ = 130802688.

The previous prime is 490561919. The next prime is 490561921. The reversal of 490561920 is 29165094.

490561920 is a `hidden beast` number, since 4 + 9 + 0 + 561 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (490561919) and next prime (490561921).

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490561921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47109 + ... + 56571.

Almost surely, 2490561920 is an apocalyptic number.

490561920 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 490561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876035160).

490561920 is an abundant number, since it is smaller than the sum of its proper divisors (1261508400).

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

490561920 is an equidigital number, since it uses as much as digits as its factorization.

490561920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9494 (or 9473 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 490561920 is about 22148.6324634276. The cubic root of 490561920 is about 788.6747636660.

The spelling of 490561920 in words is "four hundred ninety million, five hundred sixty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 864 960 1080 1152 1296 1440 1620 1728 1920 2160 2592 2880 3240 3456 4320 5184 5760 6480 8640 9463 10368 12960 17280 18926 25920 28389 37852 47315 51840 56778 75704 85167 94630 113556 141945 151408 170334 189260 227112 255501 283890 302816 340668 378520 425835 454224 511002 567780 605632 681336 757040 766503 851670 908448 1022004 1135560 1211264 1277505 1362672 1514080 1533006 1703340 1816896 2044008 2271120 2555010 2725344 3028160 3066012 3406680 3633792 3832515 4088016 4542240 5110020 5450688 6056320 6132024 6813360 7665030 8176032 9084480 10220040 10901376 12264048 13626720 15330060 16352064 18168960 20440080 24528096 27253440 30660120 32704128 40880160 49056192 54506880 61320240 81760320 98112384 122640480 163520640 245280960 490561920