Search a number
-
+
51489048 = 23313227727
BaseRepresentation
bin1100010001101…
…0100100011000
310120212220200210
43010122210120
5101140122143
65035331120
71163435562
oct304324430
9116786623
1051489048
1127078536
12152b0aa0
13a88a0c0
146ba4332
1547c1033
hex311a918

51489048 has 64 divisors (see below), whose sum is σ = 139426560. Its totient is φ = 15751296.

The previous prime is 51489043. The next prime is 51489059. The reversal of 51489048 is 84098415.

It is a super-2 number, since 2×514890482 = 5302244127892608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 51488997 and 51489015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51489041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70461 + ... + 71187.

It is an arithmetic number, because the mean of its divisors is an integer number (2178540).

Almost surely, 251489048 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 51489048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69713280).

51489048 is an abundant number, since it is smaller than the sum of its proper divisors (87937512).

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

51489048 is a wasteful number, since it uses less digits than its factorization.

51489048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 51489048 is about 7175.5869446339. The cubic root of 51489048 is about 372.0245676918.

It can be divided in two parts, 5148 and 9048, that added together give a triangular number (14196 = T168).

The spelling of 51489048 in words is "fifty-one million, four hundred eighty-nine thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 227 312 454 681 727 908 1362 1454 1816 2181 2724 2908 2951 4362 5448 5816 5902 8724 8853 9451 11804 17448 17706 18902 23608 28353 35412 37804 56706 70824 75608 113412 165029 226824 330058 495087 660116 990174 1320232 1980348 2145377 3960696 4290754 6436131 8581508 12872262 17163016 25744524 51489048