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51498144 = 2532178813
BaseRepresentation
bin1100010001110…
…0110010100000
310120220101011200
43010130302200
5101140420034
65035441200
71163504235
oct304346240
9116811150
1051498144
1127084355
12152b6200
13a891299
146ba778c
1547c3a99
hex311cca0

51498144 has 36 divisors (see below), whose sum is σ = 146448666. Its totient is φ = 17165952.

The previous prime is 51498131. The next prime is 51498193. The reversal of 51498144 is 44189415.

It can be written as a sum of positive squares in only one way, i.e., 29030544 + 22467600 = 5388^2 + 4740^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 51498099 and 51498108.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 89119 + ... + 89694.

Almost surely, 251498144 is an apocalyptic number.

It is an amenable number.

51498144 is an abundant number, since it is smaller than the sum of its proper divisors (94950522).

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

51498144 is a wasteful number, since it uses less digits than its factorization.

51498144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178829 (or 178818 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 51498144 is about 7176.2207323911. The cubic root of 51498144 is about 372.0464735556.

The spelling of 51498144 in words is "fifty-one million, four hundred ninety-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 178813 357626 536439 715252 1072878 1430504 1609317 2145756 2861008 3218634 4291512 5722016 6437268 8583024 12874536 17166048 25749072 51498144