Search a number
-
+
1050440456 = 231323171353
BaseRepresentation
bin111110100111000…
…111001100001000
32201012120220102002
4332213013030020
54122403043311
6252122330132
735013411422
oct7647071410
92635526362
101050440456
11499a4550a
12253959948
1313981ac00
149d71b812
156234693b
hex3e9c7308

1050440456 has 96 divisors (see below), whose sum is σ = 2238865920. Its totient is φ = 461260800.

The previous prime is 1050440449. The next prime is 1050440467. The reversal of 1050440456 is 6540440501.

1050440456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10504404562 = 2206850303202975872, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2975576 + ... + 2975928.

It is an arithmetic number, because the mean of its divisors is an integer number (23321520).

Almost surely, 21050440456 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 1050440456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119432960).

1050440456 is an abundant number, since it is smaller than the sum of its proper divisors (1188425464).

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

1050440456 is a wasteful number, since it uses less digits than its factorization.

1050440456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 1050440456 is about 32410.4991630799. The cubic root of 1050440456 is about 1016.5384569071.

Adding to 1050440456 its reverse (6540440501), we get a palindrome (7590880957).

The spelling of 1050440456 in words is "one billion, fifty million, four hundred forty thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 26 31 52 62 71 104 124 142 169 248 284 338 353 403 568 676 706 806 923 1352 1412 1612 1846 2201 2824 3224 3692 4402 4589 5239 7384 8804 9178 10478 10943 11999 17608 18356 20956 21886 23998 25063 28613 36712 41912 43772 47996 50126 57226 59657 87544 95992 100252 114452 119314 142259 200504 228904 238628 284518 325819 371969 477256 569036 651638 743938 776953 1138072 1303276 1487876 1553906 1849367 2606552 2975752 3107812 3698734 4235647 6215624 7397468 8471294 10100389 14794936 16942588 20200778 33885176 40401556 80803112 131305057 262610114 525220228 1050440456