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490836480 = 293579809
BaseRepresentation
bin11101010000011…
…001001000000000
31021012121002001220
4131100121020000
52001123231410
6120412155040
715110020101
oct3520311000
91235532056
10490836480
11232078792
12118468a80
137a8c71b4
144928c3a8
152d158070
hex1d419200

490836480 has 160 divisors (see below), whose sum is σ = 1590969600. Its totient is φ = 129073152.

The previous prime is 490836421. The next prime is 490836503. The reversal of 490836480 is 84638094.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 606316 + ... + 607124.

It is an arithmetic number, because the mean of its divisors is an integer number (9943560).

Almost surely, 2490836480 is an apocalyptic number.

490836480 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 490836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795484800).

490836480 is an abundant number, since it is smaller than the sum of its proper divisors (1100133120).

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

490836480 is an equidigital number, since it uses as much as digits as its factorization.

490836480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 490836480 is about 22154.8297217559. The cubic root of 490836480 is about 788.8218726234.

The spelling of 490836480 in words is "four hundred ninety million, eight hundred thirty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 79 80 96 120 128 158 160 192 237 240 256 316 320 384 395 474 480 512 632 640 768 790 809 948 960 1185 1264 1280 1536 1580 1618 1896 1920 2370 2427 2528 2560 3160 3236 3792 3840 4045 4740 4854 5056 6320 6472 7584 7680 8090 9480 9708 10112 12135 12640 12944 15168 16180 18960 19416 20224 24270 25280 25888 30336 32360 37920 38832 40448 48540 50560 51776 60672 63911 64720 75840 77664 97080 101120 103552 121344 127822 129440 151680 155328 191733 194160 202240 207104 255644 258880 303360 310656 319555 383466 388320 414208 511288 517760 606720 621312 639110 766932 776640 958665 1022576 1035520 1242624 1278220 1533864 1553280 1917330 2045152 2071040 2556440 3067728 3106560 3834660 4090304 5112880 6135456 6213120 7669320 8180608 10225760 12270912 15338640 16361216 20451520 24541824 30677280 32722432 40903040 49083648 61354560 81806080 98167296 122709120 163612160 245418240 490836480