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51300300 = 22352271631
BaseRepresentation
bin1100001110110…
…0011111001100
310120112022210010
43003230133030
5101113102200
65031313220
71162021362
oct303543714
9116468703
1051300300
1126a59747
121521b810
13a82220c
146b55632
154785150
hex30ec7cc

51300300 has 72 divisors (see below), whose sum is σ = 149212672. Its totient is φ = 13608000.

The previous prime is 51300299. The next prime is 51300311. The reversal of 51300300 is 300315.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80985 + ... + 81615.

Almost surely, 251300300 is an apocalyptic number.

51300300 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 51300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74606336).

51300300 is an abundant number, since it is smaller than the sum of its proper divisors (97912372).

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

51300300 is a wasteful number, since it uses less digits than its factorization.

51300300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 51300300 is about 7162.4227744528. The cubic root of 51300300 is about 371.5694231931.

Adding to 51300300 its reverse (300315), we get a palindrome (51600615).

The spelling of 51300300 in words is "fifty-one million, three hundred thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 271 300 542 631 813 1084 1262 1355 1626 1893 2524 2710 3155 3252 3786 4065 5420 6310 6775 7572 8130 9465 12620 13550 15775 16260 18930 20325 27100 31550 37860 40650 47325 63100 81300 94650 171001 189300 342002 513003 684004 855005 1026006 1710010 2052012 2565015 3420020 4275025 5130030 8550050 10260060 12825075 17100100 25650150 51300300