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1493794368 = 263211221433
BaseRepresentation
bin101100100001001…
…0111111001000000
310212002211121122100
41121002113321000
511024402404433
6404121110400
752006020423
oct13102277100
93762747570
101493794368
116a7231900
12358328400
131aa62b7c1
141025699ba
158b220b13
hex59097e40

1493794368 has 126 divisors (see below), whose sum is σ = 4706542022. Its totient is φ = 452643840.

The previous prime is 1493794361. The next prime is 1493794399. The reversal of 1493794368 is 8634973941.

It is a happy number.

1493794368 is a `hidden beast` number, since 1 + 493 + 7 + 94 + 3 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 954068544 + 539725824 = 30888^2 + 23232^2 .

It is a super-2 number, since 2×14937943682 = 4462843227737038848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1493794361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 58980 + ... + 80412.

Almost surely, 21493794368 is an apocalyptic number.

1493794368 is a gapful number since it is divisible by the number (18) 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 1493794368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353271011).

1493794368 is an abundant number, since it is smaller than the sum of its proper divisors (3212747654).

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

1493794368 is a wasteful number, since it uses less digits than its factorization.

1493794368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21473 (or 21449 counting only the distinct ones).

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

The square root of 1493794368 is about 38649.6360655569. The cubic root of 1493794368 is about 1143.1334660892.

The spelling of 1493794368 in words is "one billion, four hundred ninety-three million, seven hundred ninety-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 132 144 176 192 198 242 264 288 352 363 396 484 528 576 704 726 792 968 1056 1089 1452 1584 1936 2112 2178 2904 3168 3872 4356 5808 6336 7744 8712 11616 17424 21433 23232 34848 42866 64299 69696 85732 128598 171464 192897 235763 257196 342928 385794 471526 514392 685856 707289 771588 943052 1028784 1371712 1414578 1543176 1886104 2057568 2121867 2593393 2829156 3086352 3772208 4115136 4243734 5186786 5658312 6172704 7544416 7780179 8487468 10373572 11316624 12345408 15088832 15560358 16974936 20747144 22633248 23340537 31120716 33949872 41494288 45266496 46681074 62241432 67899744 82988576 93362148 124482864 135799488 165977152 186724296 248965728 373448592 497931456 746897184 1493794368