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493440 = 2735257
BaseRepresentation
bin1111000011110000000
3221001212120
41320132000
5111242230
614324240
74123413
oct1703600
9831776
10493440
11307802
121b9680
1314379c
14cbb7a
159b310
hex78780

493440 has 64 divisors (see below), whose sum is σ = 1578960. Its totient is φ = 131072.

The previous prime is 493433. The next prime is 493447. The reversal of 493440 is 44394.

It is an interprime number because it is at equal distance from previous prime (493433) and next prime (493447).

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 493440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493447) by changing a digit.

In principle, a polygon with 493440 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1792 + ... + 2048.

2493440 is an apocalyptic number.

493440 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 493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789480).

493440 is an abundant number, since it is smaller than the sum of its proper divisors (1085520).

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

493440 is a wasteful number, since it uses less digits than its factorization.

493440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 493440 is about 702.4528453925. The cubic root of 493440 is about 79.0214117040.

The spelling of 493440 in words is "four hundred ninety-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 257 320 384 480 514 640 771 960 1028 1285 1542 1920 2056 2570 3084 3855 4112 5140 6168 7710 8224 10280 12336 15420 16448 20560 24672 30840 32896 41120 49344 61680 82240 98688 123360 164480 246720 493440