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51348052 = 22723711123
BaseRepresentation
bin1100001111100…
…0001001010100
310120121202021201
43003320021110
5101121114202
65032322244
71162310530
oct303701124
9116552251
1051348052
1126a91608
1215243384
13a83ab82
146b68bc0
154794387
hex30f8254

51348052 has 48 divisors (see below), whose sum is σ = 108767232. Its totient is φ = 20734560.

The previous prime is 51348023. The next prime is 51348053. The reversal of 51348052 is 25084315.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 51348052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51348053) 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 15 ways as a sum of consecutive naturals, for example, 45163 + ... + 46285.

It is an arithmetic number, because the mean of its divisors is an integer number (2265984).

Almost surely, 251348052 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 51348052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54383616).

51348052 is an abundant number, since it is smaller than the sum of its proper divisors (57419180).

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

51348052 is a wasteful number, since it uses less digits than its factorization.

51348052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 51348052 is about 7165.7555079698. The cubic root of 51348052 is about 371.6846771041.

The spelling of 51348052 in words is "fifty-one million, three hundred forty-eight thousand, fifty-two".

Divisors: 1 2 4 7 14 23 28 46 71 92 142 161 284 322 497 644 994 1123 1633 1988 2246 3266 4492 6532 7861 11431 15722 22862 25829 31444 45724 51658 79733 103316 159466 180803 318932 361606 558131 723212 1116262 1833859 2232524 3667718 7335436 12837013 25674026 51348052