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51453952 = 21311571
BaseRepresentation
bin1100010001001…
…0000000000000
310120211010112221
43010102000000
5101133011302
65034500424
71163231344
oct304220000
9116733487
1051453952
1127054130
1215294714
13a877134
146b95624
1547b5937
hex3112000

51453952 has 56 divisors (see below), whose sum is σ = 112452912. Its totient is φ = 23347200.

The previous prime is 51453947. The next prime is 51453953. The reversal of 51453952 is 25935415.

It is not an unprimeable number, because it can be changed into a prime (51453953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 89827 + ... + 90397.

Almost surely, 251453952 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 51453952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56226456).

51453952 is an abundant number, since it is smaller than the sum of its proper divisors (60998960).

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

51453952 is an equidigital number, since it uses as much as digits as its factorization.

51453952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 584 counting only the distinct ones).

The product of its digits is 27000, while the sum is 34.

The square root of 51453952 is about 7173.1410135310. The cubic root of 51453952 is about 371.9400219331.

The spelling of 51453952 in words is "fifty-one million, four hundred fifty-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 571 704 1024 1142 1408 2048 2284 2816 4096 4568 5632 6281 8192 9136 11264 12562 18272 22528 25124 36544 45056 50248 73088 90112 100496 146176 200992 292352 401984 584704 803968 1169408 1607936 2338816 3215872 4677632 6431744 12863488 25726976 51453952