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51212500 = 225517241
BaseRepresentation
bin1100001101011…
…1000011010100
310120100212100021
43003113003110
5101102300000
65025354524
71161204403
oct303270324
9116325307
1051212500
11269a9789
1215198a44
13a7c1271
146b3163a
15476911a
hex30d70d4

51212500 has 72 divisors (see below), whose sum is σ = 119101752. Its totient is φ = 19200000.

The previous prime is 51212479. The next prime is 51212503. The reversal of 51212500 is 521215.

It can be written as a sum of positive squares in 12 ways, for example, as 46212804 + 4999696 = 6798^2 + 2236^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51212503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212380 + ... + 212620.

It is an arithmetic number, because the mean of its divisors is an integer number (1654191).

Almost surely, 251212500 is an apocalyptic number.

51212500 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 51212500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59550876).

51212500 is an abundant number, since it is smaller than the sum of its proper divisors (67889252).

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

51212500 is a wasteful number, since it uses less digits than its factorization.

51212500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 51212500 is about 7156.2909387475. The cubic root of 51212500 is about 371.3573229075.

Adding to 51212500 its reverse (521215), we get a palindrome (51733715).

The spelling of 51212500 in words is "fifty-one million, two hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 241 250 340 425 482 500 625 850 964 1205 1250 1700 2125 2410 2500 3125 4097 4250 4820 6025 6250 8194 8500 10625 12050 12500 16388 20485 21250 24100 30125 40970 42500 53125 60250 81940 102425 106250 120500 150625 204850 212500 301250 409700 512125 602500 753125 1024250 1506250 2048500 2560625 3012500 5121250 10242500 12803125 25606250 51212500