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11949888 = 263109571
BaseRepresentation
bin101101100101…
…011101000000
3211111010011110
4231211131000
511024344023
61104043320
7203400216
oct55453500
924433143
1011949888
116822145
124003540
132625252
141830cb6
1510b0a93
hexb65740

11949888 has 56 divisors (see below), whose sum is σ = 31963360. Its totient is φ = 3939840.

The previous prime is 11949869. The next prime is 11949893. The reversal of 11949888 is 88894911.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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, 20643 + ... + 21213.

Almost surely, 211949888 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 11949888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15981680).

11949888 is an abundant number, since it is smaller than the sum of its proper divisors (20013472).

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

11949888 is a wasteful number, since it uses less digits than its factorization.

11949888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 685 counting only the distinct ones).

The product of its digits is 165888, while the sum is 48.

The square root of 11949888 is about 3456.8610038588. The cubic root of 11949888 is about 228.6237154192.

The spelling of 11949888 in words is "eleven million, nine hundred forty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 192 218 327 436 571 654 872 1142 1308 1713 1744 2284 2616 3426 3488 4568 5232 6852 6976 9136 10464 13704 18272 20928 27408 36544 54816 62239 109632 124478 186717 248956 373434 497912 746868 995824 1493736 1991648 2987472 3983296 5974944 11949888