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51460000 = 25543183
BaseRepresentation
bin1100010001001…
…1011110100000
310120211102211221
43010103132200
5101133210000
65034544424
71163255104
oct304233640
9116742757
1051460000
1127058729
1215298114
13a879b07
146b97904
1547b761a
hex31137a0

51460000 has 120 divisors (see below), whose sum is σ = 132257664. Its totient is φ = 19680000.

The previous prime is 51459997. The next prime is 51460001. The reversal of 51460000 is 6415.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (51460001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 619959 + ... + 620041.

Almost surely, 251460000 is an apocalyptic number.

51460000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66128832).

51460000 is an abundant number, since it is smaller than the sum of its proper divisors (80797664).

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

51460000 is an equidigital number, since it uses as much as digits as its factorization.

51460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 51460000 is about 7173.5625737844. The cubic root of 51460000 is about 371.9545942191.

Adding to 51460000 its reverse (6415), we get a palindrome (51466415).

The spelling of 51460000 in words is "fifty-one million, four hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 83 100 124 125 155 160 166 200 248 250 310 332 400 415 496 500 620 625 664 775 800 830 992 1000 1240 1250 1328 1550 1660 2000 2075 2480 2500 2573 2656 3100 3320 3875 4000 4150 4960 5000 5146 6200 6640 7750 8300 10000 10292 10375 12400 12865 13280 15500 16600 19375 20000 20584 20750 24800 25730 31000 33200 38750 41168 41500 51460 51875 62000 64325 66400 77500 82336 83000 102920 103750 124000 128650 155000 166000 205840 207500 257300 310000 321625 332000 411680 415000 514600 620000 643250 830000 1029200 1286500 1608125 1660000 2058400 2573000 3216250 5146000 6432500 10292000 12865000 25730000 51460000