Search a number
-
+
3049746952 = 2372941163281
BaseRepresentation
bin1011010111000111…
…0111001000001000
321212112122012022211
42311301313020020
522221213400302
61222342354504
7135401264350
oct26561671010
97775565284
103049746952
11132555902a
1271142ba34
13397ab16c5
1420d075b60
1512cb1dad7
hexb5c77208

3049746952 has 128 divisors (see below), whose sum is σ = 6992697600. Its totient is φ = 1219276800.

The previous prime is 3049746929. The next prime is 3049746967. The reversal of 3049746952 is 2596479403.

It is a junction number, because it is equal to n+sod(n) for n = 3049746896 and 3049746905.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10853052 + ... + 10853332.

It is an arithmetic number, because the mean of its divisors is an integer number (54630450).

Almost surely, 23049746952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3049746952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3496348800).

3049746952 is an abundant number, since it is smaller than the sum of its proper divisors (3942950648).

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

3049746952 is a wasteful number, since it uses less digits than its factorization.

3049746952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 49.

The square root of 3049746952 is about 55224.5140494690. The cubic root of 3049746952 is about 1450.1778540460.

The spelling of 3049746952 in words is "three billion, forty-nine million, seven hundred forty-six thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 29 41 56 58 82 116 163 164 203 232 281 287 326 328 406 562 574 652 812 1124 1141 1148 1189 1304 1624 1967 2248 2282 2296 2378 3934 4564 4727 4756 6683 7868 8149 8323 9128 9454 9512 11521 13366 15736 16298 16646 18908 23042 26732 32596 33089 33292 37816 45803 46084 46781 53464 57043 65192 66178 66584 80647 91606 92168 93562 114086 132356 161294 183212 187124 193807 228172 264712 320621 322588 334109 366424 374248 387614 456344 641242 645176 668218 775228 1282484 1328287 1336436 1356649 1550456 1877923 2338763 2564968 2656574 2672872 2713298 3755846 4677526 5313148 5426596 7511692 9298009 9355052 10626296 10853192 13145461 15023384 18596018 18710104 26290922 37192036 52581844 54459767 74384072 105163688 108919534 217839068 381218369 435678136 762436738 1524873476 3049746952