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11889408 = 283113137
BaseRepresentation
bin101101010110…
…101100000000
3211101001012110
4231112230000
511020430113
61102455320
7203025666
oct55265400
924331173
1011889408
116790763
123b94540
13260386b
141816c36
15109cbc3
hexb56b00

11889408 has 72 divisors (see below), whose sum is σ = 32156208. Its totient is φ = 3899392.

The previous prime is 11889403. The next prime is 11889431. The reversal of 11889408 is 80498811.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11889401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86716 + ... + 86852.

It is an arithmetic number, because the mean of its divisors is an integer number (446614).

Almost surely, 211889408 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 11889408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16078104).

11889408 is an abundant number, since it is smaller than the sum of its proper divisors (20266800).

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

11889408 is a wasteful number, since it uses less digits than its factorization.

11889408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 11889408 is about 3448.1020866558. The cubic root of 11889408 is about 228.2373643737.

The spelling of 11889408 in words is "eleven million, eight hundred eighty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 137 192 226 256 274 339 384 411 452 548 678 768 822 904 1096 1356 1644 1808 2192 2712 3288 3616 4384 5424 6576 7232 8768 10848 13152 14464 15481 17536 21696 26304 28928 30962 35072 43392 46443 52608 61924 86784 92886 105216 123848 185772 247696 371544 495392 743088 990784 1486176 1981568 2972352 3963136 5944704 11889408