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1293488028 = 223972347
BaseRepresentation
bin100110100011001…
…0000111110011100
310100010221000000000
41031012100332130
510122113104103
6332203534300
744024316060
oct11506207634
93303830000
101293488028
1160415a778
1230122a390
13177c97c41
14c3b07aa0
1578855aa3
hex4d190f9c

1293488028 has 120 divisors (see below), whose sum is σ = 3882051712. Its totient is φ = 369410544.

The previous prime is 1293488017. The next prime is 1293488033. The reversal of 1293488028 is 8208843921.

It is a super-2 number, since 2×12934880282 = 3346222557158657568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 549951 + ... + 552297.

Almost surely, 21293488028 is an apocalyptic number.

1293488028 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 1293488028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941025856).

1293488028 is an abundant number, since it is smaller than the sum of its proper divisors (2588563684).

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

1293488028 is an frugal number, since it uses more digits than its factorization.

1293488028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1293488028 is about 35965.0945779376. The cubic root of 1293488028 is about 1089.5674933053.

The spelling of 1293488028 in words is "one billion, two hundred ninety-three million, four hundred eighty-eight thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 729 756 972 1134 1458 1701 2187 2268 2347 2916 3402 4374 4694 5103 6561 6804 7041 8748 9388 10206 13122 14082 15309 16429 19683 20412 21123 26244 28164 30618 32858 39366 42246 45927 49287 61236 63369 65716 78732 84492 91854 98574 126738 137781 147861 183708 190107 197148 253476 275562 295722 380214 443583 551124 570321 591444 760428 887166 1140642 1330749 1710963 1774332 2281284 2661498 3421926 3992247 5132889 5322996 6843852 7984494 10265778 11976741 15398667 15968988 20531556 23953482 30797334 35930223 46196001 47906964 61594668 71860446 92392002 107790669 143720892 184784004 215581338 323372007 431162676 646744014 1293488028