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51421328 = 24717113239
BaseRepresentation
bin1100010000101…
…0000010010000
310120202110210122
43010022002100
5101130440303
65034045412
71163034260
oct304120220
9116673718
1051421328
1127031672
1215279868
13a86532a
146b877a0
1547aae38
hex310a090

51421328 has 80 divisors (see below), whose sum is σ = 122135040. Its totient is φ = 20471808.

The previous prime is 51421319. The next prime is 51421351. The reversal of 51421328 is 82312415.

Its product of digits (1920) is a multiple of the sum of its prime factors (384).

It is a junction number, because it is equal to n+sod(n) for n = 51421297 and 51421306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215033 + ... + 215271.

It is an arithmetic number, because the mean of its divisors is an integer number (1526688).

Almost surely, 251421328 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 51421328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61067520).

51421328 is an abundant number, since it is smaller than the sum of its proper divisors (70713712).

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

51421328 is a wasteful number, since it uses less digits than its factorization.

51421328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 378 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 51421328 is about 7170.8666142943. The cubic root of 51421328 is about 371.8613967013.

The spelling of 51421328 in words is "fifty-one million, four hundred twenty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 113 119 136 226 238 239 272 452 476 478 791 904 952 956 1582 1673 1808 1904 1912 1921 3164 3346 3824 3842 4063 6328 6692 7684 8126 12656 13384 13447 15368 16252 26768 26894 27007 28441 30736 32504 53788 54014 56882 65008 107576 108028 113764 189049 215152 216056 227528 378098 432112 455056 459119 756196 918238 1512392 1836476 3024784 3213833 3672952 6427666 7345904 12855332 25710664 51421328