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51194880 = 21032511101
BaseRepresentation
bin1100001101001…
…0110000000000
310120022222011200
43003102300000
5101101214010
65025141200
71161102132
oct303226000
9116288150
1051194880
1126997520
121518a800
13a7b6239
146b29052
154763cc0
hex30d2c00

51194880 has 264 divisors, whose sum is σ = 195431184. Its totient is φ = 12288000.

The previous prime is 51194879. The next prime is 51194887. The reversal of 51194880 is 8849115.

It is a tau number, because it is divible by the number of its divisors (264).

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

It is not an unprimeable number, because it can be changed into a prime (51194887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506830 + ... + 506930.

Almost surely, 251194880 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 51194880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97715592).

51194880 is an abundant number, since it is smaller than the sum of its proper divisors (144236304).

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

51194880 is a wasteful number, since it uses less digits than its factorization.

51194880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 51194880 is about 7155.0597481782. The cubic root of 51194880 is about 371.3147287062.

51194880 divided by its product of nonzero digits (11520) gives a palindrome (4444).

It can be divided in two parts, 5119 and 4880, that added together give a palindrome (9999).

The spelling of 51194880 in words is "fifty-one million, one hundred ninety-four thousand, eight hundred eighty".