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51109344 = 253211131773
BaseRepresentation
bin1100001011110…
…1110111100000
310120011121211200
43002331313200
5101040444334
65023241200
71160264556
oct302756740
9116147750
1051109344
1126939230
1215149200
13a786320
146b05bd6
154748799
hex30bdde0

51109344 has 288 divisors, whose sum is σ = 183272544. Its totient is φ = 13271040.

The previous prime is 51109319. The next prime is 51109367. The reversal of 51109344 is 44390115.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×511093442 = 5224330088220672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 700092 + ... + 700164.

It is an arithmetic number, because the mean of its divisors is an integer number (636363).

Almost surely, 251109344 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 51109344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91636272).

51109344 is an abundant number, since it is smaller than the sum of its proper divisors (132163200).

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

51109344 is a wasteful number, since it uses less digits than its factorization.

51109344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 51109344 is about 7149.0799408036. The cubic root of 51109344 is about 371.1078168586.

Adding to 51109344 its reverse (44390115), we get a palindrome (95499459).

The spelling of 51109344 in words is "fifty-one million, one hundred nine thousand, three hundred forty-four".