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493140480 = 293579173
BaseRepresentation
bin11101011001001…
…011101000000000
31021100221010120020
4131121023220000
52002220443410
6120533413440
715135424230
oct3531135000
91240833506
10493140480
11233401818
1211919a280
137b222b01
14496cbcc0
152d460a70
hex1d64ba00

493140480 has 160 divisors (see below), whose sum is σ = 1801920384. Its totient is φ = 112705536.

The previous prime is 493140457. The next prime is 493140523. The reversal of 493140480 is 84041394.

It is a happy number.

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, 49174 + ... + 58346.

Almost surely, 2493140480 is an apocalyptic number.

493140480 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 493140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900960192).

493140480 is an abundant number, since it is smaller than the sum of its proper divisors (1308779904).

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

493140480 is an equidigital number, since it uses as much as digits as its factorization.

493140480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9206 (or 9190 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 493140480 is about 22206.7665363510. The cubic root of 493140480 is about 790.0541969975.

The spelling of 493140480 in words is "four hundred ninety-three million, one hundred forty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 512 560 640 672 768 840 896 960 1120 1280 1344 1536 1680 1792 1920 2240 2560 2688 3360 3584 3840 4480 5376 6720 7680 8960 9173 10752 13440 17920 18346 26880 27519 36692 45865 53760 55038 64211 73384 91730 110076 128422 137595 146768 183460 192633 220152 256844 275190 293536 321055 366920 385266 440304 513688 550380 587072 642110 733840 770532 880608 963165 1027376 1100760 1174144 1284220 1467680 1541064 1761216 1926330 2054752 2201520 2348288 2568440 2935360 3082128 3522432 3852660 4109504 4403040 4696576 5136880 5870720 6164256 7044864 7705320 8219008 8806080 10273760 11741440 12328512 14089728 15410640 16438016 17612160 20547520 23482880 24657024 30821280 32876032 35224320 41095040 49314048 61642560 70448640 82190080 98628096 123285120 164380160 246570240 493140480