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11476992 = 2133467
BaseRepresentation
bin101011110010…
…000000000000
3210121002110210
4223302000000
510414230432
61045554120
7166360422
oct53620000
923532423
1011476992
11652991a
123a15940
1324bac27
14174a812
15101a8cc
hexaf2000

11476992 has 56 divisors (see below), whose sum is σ = 30668976. Its totient is φ = 3817472.

The previous prime is 11476963. The next prime is 11477003. The reversal of 11476992 is 29967411.

It is a self number, because there is not a number n which added to its sum of digits gives 11476992.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24343 + ... + 24809.

Almost surely, 211476992 is an apocalyptic number.

11476992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11476992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15334488).

11476992 is an abundant number, since it is smaller than the sum of its proper divisors (19191984).

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

11476992 is an frugal number, since it uses more digits than its factorization.

11476992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 472 counting only the distinct ones).

The product of its digits is 27216, while the sum is 39.

The square root of 11476992 is about 3387.7709485737. The cubic root of 11476992 is about 225.5672403516.

The spelling of 11476992 in words is "eleven million, four hundred seventy-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 467 512 768 934 1024 1401 1536 1868 2048 2802 3072 3736 4096 5604 6144 7472 8192 11208 12288 14944 22416 24576 29888 44832 59776 89664 119552 179328 239104 358656 478208 717312 956416 1434624 1912832 2869248 3825664 5738496 11476992