Search a number
-
+
1047478944 = 25397197571
BaseRepresentation
bin111110011011110…
…100001010100000
32201000000102222110
4332123310022200
54121123311234
6251535035320
734646265321
oct7633641240
92630012873
101047478944
11498302486
1225296bb40
13139021c35
149d18a448
1561e5e1e9
hex3e6f42a0

1047478944 has 96 divisors (see below), whose sum is σ = 2796970176. Its totient is φ = 343203840.

The previous prime is 1047478931. The next prime is 1047478963. The reversal of 1047478944 is 4498747401.

1047478944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1047478893 and 1047478902.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1834179 + ... + 1834749.

It is an arithmetic number, because the mean of its divisors is an integer number (29135106).

Almost surely, 21047478944 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 1047478944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398485088).

1047478944 is an abundant number, since it is smaller than the sum of its proper divisors (1749491232).

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

1047478944 is a wasteful number, since it uses less digits than its factorization.

1047478944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The square root of 1047478944 is about 32364.7793751170. The cubic root of 1047478944 is about 1015.5822470859.

The spelling of 1047478944 in words is "one billion, forty-seven million, four hundred seventy-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 197 291 388 394 571 582 591 776 788 1142 1164 1182 1552 1576 1713 2284 2328 2364 3104 3152 3426 4568 4656 4728 6304 6852 9136 9312 9456 13704 18272 18912 19109 27408 38218 54816 55387 57327 76436 110774 112487 114654 152872 166161 221548 224974 229308 305744 332322 337461 443096 449948 458616 611488 664644 674922 886192 899896 917232 1329288 1349844 1772384 1799792 1834464 2658576 2699688 3599584 5317152 5399376 10798752 10911239 21822478 32733717 43644956 65467434 87289912 130934868 174579824 261869736 349159648 523739472 1047478944