Search a number
-
+
274489488 = 243271320947
BaseRepresentation
bin10000010111000…
…110000010010000
3201010111111210100
4100113012002100
51030232130423
643123132400
76542056620
oct2027060220
9633444710
10274489488
11130a40019
1277b14100
1344b38420
1428652880
1519170343
hex105c6090

274489488 has 120 divisors (see below), whose sum is σ = 945508928. Its totient is φ = 72389376.

The previous prime is 274489487. The next prime is 274489489. The reversal of 274489488 is 884984472.

It is an interprime number because it is at equal distance from previous prime (274489487) and next prime (274489489).

It is a super-5 number, since 5×2744894885 (a number of 43 digits) contains 55555 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (274489487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2631 + ... + 23577.

Almost surely, 2274489488 is an apocalyptic number.

274489488 is a gapful number since it is divisible by the number (28) 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 274489488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472754464).

274489488 is an abundant number, since it is smaller than the sum of its proper divisors (671019440).

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

274489488 is a wasteful number, since it uses less digits than its factorization.

274489488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20981 (or 20972 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 274489488 is about 16567.7242854895. The cubic root of 274489488 is about 649.8930695895.

The spelling of 274489488 in words is "two hundred seventy-four million, four hundred eighty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 13104 20947 41894 62841 83788 125682 146629 167576 188523 251364 272311 293258 335152 377046 439887 502728 544622 586516 754092 816933 879774 1005456 1089244 1173032 1319661 1508184 1633866 1759548 1906177 2178488 2346064 2450799 2639322 3016368 3267732 3519096 3812354 4356976 4901598 5278644 5718531 6535464 7038192 7624708 9803196 10557288 11437062 13070928 15249416 17155593 19606392 21114576 22874124 30498832 34311186 39212784 45748248 68622372 91496496 137244744 274489488