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1493064496 = 247211215739
BaseRepresentation
bin101100011111110…
…0101101100110000
310212001110112110001
41120333211230300
511024211030441
6404053315344
751666560500
oct13077455460
93761415401
101493064496
116a6883500
12358035b54
131aa434521
14102419a00
158b129731
hex58fe5b30

1493064496 has 90 divisors (see below), whose sum is σ = 3699073140. Its totient is φ = 581676480.

The previous prime is 1493064493. The next prime is 1493064499. The reversal of 1493064496 is 6944603941.

It is an interprime number because it is at equal distance from previous prime (1493064493) and next prime (1493064499).

It is not an unprimeable number, because it can be changed into a prime (1493064493) 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, 86995 + ... + 102733.

Almost surely, 21493064496 is an apocalyptic number.

1493064496 is a gapful number since it is divisible by the number (16) 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 1493064496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849536570).

1493064496 is an abundant number, since it is smaller than the sum of its proper divisors (2206008644).

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

1493064496 is a wasteful number, since it uses less digits than its factorization.

1493064496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15783 (or 15759 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 46.

The square root of 1493064496 is about 38640.1927531424. The cubic root of 1493064496 is about 1142.9472563825.

The spelling of 1493064496 in words is "one billion, four hundred ninety-three million, sixty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 121 154 176 196 242 308 392 484 539 616 784 847 968 1078 1232 1694 1936 2156 3388 4312 5929 6776 8624 11858 13552 15739 23716 31478 47432 62956 94864 110173 125912 173129 220346 251824 346258 440692 692516 771211 881384 1211903 1385032 1542422 1762768 1904419 2423806 2770064 3084844 3808838 4847612 6169688 7617676 8483321 9695224 12339376 13330933 15235352 16966642 19390448 26661866 30470704 33933284 53323732 67866568 93316531 106647464 135733136 186633062 213294928 373266124 746532248 1493064496