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11245808 = 247314179
BaseRepresentation
bin101010111001…
…100011110000
3210011100100102
4222321203300
510334331213
61041011532
7164405420
oct52714360
923140312
1011245808
116391162
123923ba8
132439932
1416ca480
15ec2158
hexab98f0

11245808 has 80 divisors (see below), whose sum is σ = 26664960. Its totient is φ = 4492800.

The previous prime is 11245799. The next prime is 11245811. The reversal of 11245808 is 80854211.

11245808 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

11245808 is strictly pandigital in base 8.

It is a congruent number.

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, 142313 + ... + 142391.

It is an arithmetic number, because the mean of its divisors is an integer number (333312).

Almost surely, 211245808 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 11245808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13332480).

11245808 is an abundant number, since it is smaller than the sum of its proper divisors (15419152).

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

11245808 is a wasteful number, since it uses less digits than its factorization.

11245808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 11245808 is about 3353.4770015612. The cubic root of 11245808 is about 224.0424026870.

The spelling of 11245808 in words is "eleven million, two hundred forty-five thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 31 41 56 62 79 82 112 124 158 164 217 248 287 316 328 434 496 553 574 632 656 868 1106 1148 1264 1271 1736 2212 2296 2449 2542 3239 3472 4424 4592 4898 5084 6478 8848 8897 9796 10168 12956 17143 17794 19592 20336 22673 25912 34286 35588 39184 45346 51824 68572 71176 90692 100409 137144 142352 181384 200818 274288 362768 401636 702863 803272 1405726 1606544 2811452 5622904 11245808