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51122500 = 2254112132
BaseRepresentation
bin1100001100000…
…1000101000100
310120012021212221
43003001011010
5101041410000
65023422124
71160351122
oct303010504
9116167787
1051122500
1126948100
1215154944
13a78c300
146b0a912
15474c61a
hex30c1144

51122500 has 135 divisors (see below), whose sum is σ = 133061313. Its totient is φ = 17160000.

The previous prime is 51122479. The next prime is 51122501. The reversal of 51122500 is 522115.

The square root of 51122500 is 7150.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 50495236 + 627264 = 7106^2 + 792^2 .

It is a super-2 number, since 2×511225002 = 5227020012500000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51122501) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3932494 + ... + 3932506.

Almost surely, 251122500 is an apocalyptic number.

51122500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51122500 is the 7150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51122500

51122500 is an abundant number, since it is smaller than the sum of its proper divisors (81938813).

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

51122500 is a wasteful number, since it uses less digits than its factorization.

51122500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 31 counting only the distinct ones).

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

The cubic root of 51122500 is about 371.1396562784.

Multiplying 51122500 by its sum of digits (16), we get a square (817960000 = 286002).

Multiplying 51122500 by its product of nonzero digits (100), we get a square (5112250000 = 715002).

51122500 divided by its product of nonzero digits (100) gives a square (511225 = 7152).

Adding to 51122500 its reverse (522115), we get a palindrome (51644615).

The spelling of 51122500 in words is "fifty-one million, one hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 121 125 130 143 169 220 242 250 260 275 286 325 338 484 500 550 572 605 625 650 676 715 845 1100 1210 1250 1300 1375 1430 1573 1625 1690 1859 2420 2500 2750 2860 3025 3146 3250 3380 3575 3718 4225 5500 6050 6292 6500 6875 7150 7436 7865 8125 8450 9295 12100 13750 14300 15125 15730 16250 16900 17875 18590 20449 21125 27500 30250 31460 32500 35750 37180 39325 40898 42250 46475 60500 71500 75625 78650 81796 84500 89375 92950 102245 105625 151250 157300 178750 185900 196625 204490 211250 232375 302500 357500 393250 408980 422500 464750 511225 786500 929500 983125 1022450 1161875 1966250 2044900 2323750 2556125 3932500 4647500 5112250 10224500 12780625 25561250 51122500