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493986720 = 25351029139
BaseRepresentation
bin11101011100011…
…010001110100000
31021102112010101110
4131130122032200
52002430033340
6121003503320
715145550343
oct3534321640
91242463343
10493986720
1123392a597
12119527b40
137b45b046
144986c45a
152d57b680
hex1d71a3a0

493986720 has 48 divisors (see below), whose sum is σ = 1556059680. Its totient is φ = 131729664.

The previous prime is 493986707. The next prime is 493986733. The reversal of 493986720 is 27689394.

It is an interprime number because it is at equal distance from previous prime (493986707) and next prime (493986733).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 493986720.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 514090 + ... + 515049.

It is an arithmetic number, because the mean of its divisors is an integer number (32417910).

Almost surely, 2493986720 is an apocalyptic number.

493986720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

493986720 is an abundant number, since it is smaller than the sum of its proper divisors (1062072960).

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

493986720 is a wasteful number, since it uses less digits than its factorization.

493986720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029157 (or 1029149 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 493986720 is about 22225.8120211613. The cubic root of 493986720 is about 790.5058555849.

The spelling of 493986720 in words is "four hundred ninety-three million, nine hundred eighty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1029139 2058278 3087417 4116556 5145695 6174834 8233112 10291390 12349668 15437085 16466224 20582780 24699336 30874170 32932448 41165560 49398672 61748340 82331120 98797344 123496680 164662240 246993360 493986720