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490527360 = 2733528387
BaseRepresentation
bin11101001111001…
…101101010000000
31021012000101001000
4131033031222000
52001033333420
6120401412000
715104261631
oct3517155200
91235011030
10490527360
11231987514
1211833a000
137a81959b
144920b888
152d0e6690
hex1d3cda80

490527360 has 128 divisors (see below), whose sum is σ = 1737345600. Its totient is φ = 130802688.

The previous prime is 490527347. The next prime is 490527361. The reversal of 490527360 is 63725094.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (490527361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3087 + ... + 31473.

Almost surely, 2490527360 is an apocalyptic number.

490527360 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 490527360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868672800).

490527360 is an abundant number, since it is smaller than the sum of its proper divisors (1246818240).

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

490527360 is a wasteful number, since it uses less digits than its factorization.

490527360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28415 (or 28397 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 490527360 is about 22147.8522660776. The cubic root of 490527360 is about 788.6562425654.

The spelling of 490527360 in words is "four hundred ninety million, five hundred twenty-seven thousand, three hundred sixty".

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 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 17280 28387 56774 85161 113548 141935 170322 227096 255483 283870 340644 425805 454192 510966 567740 681288 766449 851610 908384 1021932 1135480 1277415 1362576 1532898 1703220 1816768 2043864 2270960 2554830 2725152 3065796 3406440 3633536 3832245 4087728 4541920 5109660 5450304 6131592 6812880 7664490 8175456 9083840 10219320 10900608 12263184 13625760 15328980 16350912 18167680 20438640 24526368 27251520 30657960 32701824 40877280 49052736 54503040 61315920 81754560 98105472 122631840 163509120 245263680 490527360