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493191072 = 25331151893
BaseRepresentation
bin11101011001010…
…111111110100000
31021101000200222000
4131121113332200
52002224103242
6120534444000
715136024563
oct3531277640
91241020860
10493191072
11233436830
12119203600
137b23cb4a
14497024da
152d470a4c
hex1d657fa0

493191072 has 96 divisors (see below), whose sum is σ = 1569274560. Its totient is φ = 149448960.

The previous prime is 493191031. The next prime is 493191077. The reversal of 493191072 is 270191394.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (493191077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16443 + ... + 35450.

It is an arithmetic number, because the mean of its divisors is an integer number (16346610).

Almost surely, 2493191072 is an apocalyptic number.

It is an amenable number.

493191072 is an abundant number, since it is smaller than the sum of its proper divisors (1076083488).

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

493191072 is a wasteful number, since it uses less digits than its factorization.

493191072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51923 (or 51909 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 493191072 is about 22207.9056193960. The cubic root of 493191072 is about 790.0812136772.

The spelling of 493191072 in words is "four hundred ninety-three million, one hundred ninety-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 51893 103786 155679 207572 311358 415144 467037 570823 622716 830288 934074 1141646 1245432 1401111 1660576 1712469 1868148 2283292 2490864 2802222 3424938 3736296 4566584 4981728 5137407 5604444 6849876 7472592 9133168 10274814 11208888 13699752 14945184 15412221 18266336 20549628 22417776 27399504 30824442 41099256 44835552 54799008 61648884 82198512 123297768 164397024 246595536 493191072