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51019428 = 22323316789
BaseRepresentation
bin1100001010011…
…1111010100100
310120000001111110
43002213322210
5101030110203
65021305020
71156441455
oct302477244
9116001443
1051019428
1126887719
1215105170
13a754415
146ac112c
15472bd03
hex30a7ea4

51019428 has 96 divisors (see below), whose sum is σ = 131604480. Its totient is φ = 15333120.

The previous prime is 51019399. The next prime is 51019429. The reversal of 51019428 is 82491015.

It is a happy number.

51019428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 51019395 and 51019404.

It is not an unprimeable number, because it can be changed into a prime (51019429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 573208 + ... + 573296.

It is an arithmetic number, because the mean of its divisors is an integer number (1370880).

Almost surely, 251019428 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 51019428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65802240).

51019428 is an abundant number, since it is smaller than the sum of its proper divisors (80585052).

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

51019428 is a wasteful number, since it uses less digits than its factorization.

51019428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 51019428 is about 7142.7885310990. The cubic root of 51019428 is about 370.8900607350.

The spelling of 51019428 in words is "fifty-one million, nineteen thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 23 31 46 62 67 69 89 92 93 124 134 138 178 186 201 267 268 276 356 372 402 534 713 804 1068 1426 1541 2047 2077 2139 2759 2852 3082 4094 4154 4278 4623 5518 5963 6141 6164 6231 8188 8277 8308 8556 9246 11036 11926 12282 12462 16554 17889 18492 23852 24564 24924 33108 35778 47771 63457 71556 95542 126914 137149 143313 184853 190371 191084 253828 274298 286626 369706 380742 411447 548596 554559 573252 739412 761484 822894 1109118 1645788 2218236 4251619 8503238 12754857 17006476 25509714 51019428