Search a number
-
+
1089262848 = 2836123251
BaseRepresentation
bin100000011101100…
…1101010100000000
32210220122021201110
41000323031110000
54212322402343
6300030403320
735664403302
oct10073152400
92726567643
101089262848
11509951333
12264960540
1314489173b
14a4945972
1565964833
hex40ecd500

1089262848 has 72 divisors (see below), whose sum is σ = 2946679456. Its totient is φ = 357120000.

The previous prime is 1089262847. The next prime is 1089262907. The reversal of 1089262848 is 8482629801.

It is a super-2 number, since 2×10892628482 = 2372987104066142208, which contains 22 as substring.

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 = 1089262797 and 1089262806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1089262847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35223 + ... + 58473.

Almost surely, 21089262848 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 1089262848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473339728).

1089262848 is an abundant number, since it is smaller than the sum of its proper divisors (1857416608).

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

1089262848 is an equidigital number, since it uses as much as digits as its factorization.

1089262848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23331 (or 23317 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 1089262848 is about 33003.9823051704. The cubic root of 1089262848 is about 1028.9104159569.

The spelling of 1089262848 in words is "one billion, eighty-nine million, two hundred sixty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 732 768 976 1464 1952 2928 3904 5856 7808 11712 15616 23251 23424 46502 46848 69753 93004 139506 186008 279012 372016 558024 744032 1116048 1418311 1488064 2232096 2836622 2976128 4254933 4464192 5673244 5952256 8509866 8928384 11346488 17019732 17856768 22692976 34039464 45385952 68078928 90771904 136157856 181543808 272315712 363087616 544631424 1089262848