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11034848 = 2511232947
BaseRepresentation
bin101010000110…
…000011100000
3202202121222002
4222012003200
510311103343
61032303132
7162536366
oct52060340
922677862
1011034848
116257710
123841aa8
1323948c6
141673636
15e7e8b8
hexa860e0

11034848 has 96 divisors (see below), whose sum is σ = 26127360. Its totient is φ = 4533760.

The previous prime is 11034847. The next prime is 11034857. The reversal of 11034848 is 84843011.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 11034848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11034841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234761 + ... + 234807.

It is an arithmetic number, because the mean of its divisors is an integer number (272160).

Almost surely, 211034848 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 11034848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063680).

11034848 is an abundant number, since it is smaller than the sum of its proper divisors (15092512).

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

11034848 is a wasteful number, since it uses less digits than its factorization.

11034848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 11034848 is about 3321.8741698023. The cubic root of 11034848 is about 222.6326137860.

Adding to 11034848 its reverse (84843011), we get a palindrome (95877859).

The spelling of 11034848 in words is "eleven million, thirty-four thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 23 29 32 44 46 47 58 88 92 94 116 176 184 188 232 253 319 352 368 376 464 506 517 638 667 736 752 928 1012 1034 1081 1276 1334 1363 1504 2024 2068 2162 2552 2668 2726 4048 4136 4324 5104 5336 5452 7337 8096 8272 8648 10208 10672 10904 11891 14674 14993 16544 17296 21344 21808 23782 29348 29986 31349 34592 43616 47564 58696 59972 62698 95128 117392 119944 125396 190256 234784 239888 250792 344839 380512 479776 501584 689678 1003168 1379356 2758712 5517424 11034848