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11629952 = 27432113
BaseRepresentation
bin101100010111…
…010110000000
3210212212021222
4230113112000
510434124302
61053134212
7200565365
oct54272600
923785258
1011629952
116623834
123a8a368
132542739
14178a46c
15104ada2
hexb17580

11629952 has 32 divisors (see below), whose sum is σ = 23719080. Its totient is φ = 5677056.

The previous prime is 11629939. The next prime is 11629963. The reversal of 11629952 is 25992611.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4448 + ... + 6560.

Almost surely, 211629952 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 11629952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11859540).

11629952 is an abundant number, since it is smaller than the sum of its proper divisors (12089128).

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

11629952 is an equidigital number, since it uses as much as digits as its factorization.

11629952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170 (or 2158 counting only the distinct ones).

The product of its digits is 9720, while the sum is 35.

The square root of 11629952 is about 3410.2715434405. The cubic root of 11629952 is about 226.5649062638.

The spelling of 11629952 in words is "eleven million, six hundred twenty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 344 688 1376 2113 2752 4226 5504 8452 16904 33808 67616 90859 135232 181718 270464 363436 726872 1453744 2907488 5814976 11629952