Search a number
-
+
1493679348 = 223272846757
BaseRepresentation
bin101100100000111…
…1011110011110100
310212002121202212100
41121001323303310
511024340214343
6404114422100
752005031200
oct13101736364
93762552770
101493679348
116a7163447
12358291930
131aa5bb345
14102539b00
158b1eb9d3
hex5907bcf4

1493679348 has 54 divisors (see below), whose sum is σ = 4392133746. Its totient is φ = 426765024.

The previous prime is 1493679331. The next prime is 1493679349. The reversal of 1493679348 is 8439763941.

It is a happy number.

1493679348 is a `hidden beast` number, since 1 + 493 + 67 + 93 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1447954704 + 45724644 = 38052^2 + 6762^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1493679294 and 1493679303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1493679349) 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 17 ways as a sum of consecutive naturals, for example, 421615 + ... + 425142.

Almost surely, 21493679348 is an apocalyptic number.

1493679348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1493679348 is an abundant number, since it is smaller than the sum of its proper divisors (2898454398).

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

1493679348 is a wasteful number, since it uses less digits than its factorization.

1493679348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846781 (or 846769 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 1493679348 is about 38648.1480539495. The cubic root of 1493679348 is about 1143.1041254631.

The spelling of 1493679348 in words is "one billion, four hundred ninety-three million, six hundred seventy-nine thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 846757 1693514 2540271 3387028 5080542 5927299 7620813 10161084 11854598 15241626 17781897 23709196 30483252 35563794 41491093 53345691 71127588 82982186 106691382 124473279 165964372 213382764 248946558 373419837 497893116 746839674 1493679348