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51270900 = 223523137149
BaseRepresentation
bin1100001110010…
…1010011110100
310120110211110020
43003211103310
5101111132100
65030525140
71161536562
oct303452364
9116424406
1051270900
1126a3964a
12152067b0
13a811a15
146b48a32
15477b5a0
hex30e54f4

51270900 has 144 divisors (see below), whose sum is σ = 158323200. Its totient is φ = 12787200.

The previous prime is 51270881. The next prime is 51270913. The reversal of 51270900 is 907215.

51270900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 344026 + ... + 344174.

Almost surely, 251270900 is an apocalyptic number.

51270900 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 51270900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79161600).

51270900 is an abundant number, since it is smaller than the sum of its proper divisors (107052300).

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

51270900 is a wasteful number, since it uses less digits than its factorization.

51270900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 51270900 is about 7160.3701021665. The cubic root of 51270900 is about 371.4984279711.

The spelling of 51270900 in words is "fifty-one million, two hundred seventy thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 37 50 60 62 74 75 93 100 111 124 148 149 150 155 185 186 222 298 300 310 370 372 444 447 465 555 596 620 740 745 775 894 925 930 1110 1147 1490 1550 1788 1850 1860 2220 2235 2294 2325 2775 2980 3100 3441 3700 3725 4470 4588 4619 4650 5513 5550 5735 6882 7450 8940 9238 9300 11026 11100 11175 11470 13764 13857 14900 16539 17205 18476 22052 22350 22940 23095 27565 27714 28675 33078 34410 44700 46190 55130 55428 57350 66156 68820 69285 82695 86025 92380 110260 114700 115475 137825 138570 165390 170903 172050 230950 275650 277140 330780 341806 344100 346425 413475 461900 512709 551300 683612 692850 826950 854515 1025418 1385700 1653900 1709030 2050836 2563545 3418060 4272575 5127090 8545150 10254180 12817725 17090300 25635450 51270900