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51476064 = 2531015309
BaseRepresentation
bin1100010001011…
…1011001100000
310120212020212220
43010113121200
5101134213224
65035151040
71163352663
oct304273140
9116766786
1051476064
1127069802
12152a5480
13a884213
146b9d6da
1547bc279
hex3117660

51476064 has 48 divisors (see below), whose sum is σ = 136488240. Its totient is φ = 16985600.

The previous prime is 51476053. The next prime is 51476069. The reversal of 51476064 is 46067415.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51476069) by changing a digit.

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, 7042 + ... + 12350.

It is an arithmetic number, because the mean of its divisors is an integer number (2843505).

Almost surely, 251476064 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 51476064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68244120).

51476064 is an abundant number, since it is smaller than the sum of its proper divisors (85012176).

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

51476064 is a wasteful number, since it uses less digits than its factorization.

51476064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5423 (or 5415 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 51476064 is about 7174.6821532386. The cubic root of 51476064 is about 371.9932939015.

It can be divided in two parts, 5147 and 6064, that added together give a palindrome (11211).

The spelling of 51476064 in words is "fifty-one million, four hundred seventy-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 1212 1616 2424 3232 4848 5309 9696 10618 15927 21236 31854 42472 63708 84944 127416 169888 254832 509664 536209 1072418 1608627 2144836 3217254 4289672 6434508 8579344 12869016 17158688 25738032 51476064