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493873152 = 2113312593
BaseRepresentation
bin11101011011111…
…110100000000000
31021102022100121020
4131123332200000
52002412420102
6121001225440
715144565263
oct3533764000
91242270536
10493873152
11233862233
12119492280
137b41b446
144983ccda
152d557bbc
hex1d6fe800

493873152 has 96 divisors (see below), whose sum is σ = 1359671040. Its totient is φ = 159252480.

The previous prime is 493873139. The next prime is 493873153. The reversal of 493873152 is 251378394.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493873153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189168 + ... + 191760.

It is an arithmetic number, because the mean of its divisors is an integer number (14163240).

Almost surely, 2493873152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493873152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679835520).

493873152 is an abundant number, since it is smaller than the sum of its proper divisors (865797888).

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

493873152 is a wasteful number, since it uses less digits than its factorization.

493873152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2649 (or 2629 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 493873152 is about 22223.2570070186. The cubic root of 493873152 is about 790.4452716015.

The spelling of 493873152 in words is "four hundred ninety-three million, eight hundred seventy-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1024 1488 1536 1984 2048 2593 2976 3072 3968 5186 5952 6144 7779 7936 10372 11904 15558 15872 20744 23808 31116 31744 41488 47616 62232 63488 80383 82976 95232 124464 160766 165952 190464 241149 248928 321532 331904 482298 497856 643064 663808 964596 995712 1286128 1327616 1929192 1991424 2572256 2655232 3858384 3982848 5144512 5310464 7716768 7965696 10289024 15433536 15931392 20578048 30867072 41156096 61734144 82312192 123468288 164624384 246936576 493873152