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51672300 = 22352414201
BaseRepresentation
bin1100010100011…
…1010011101100
310121020020001220
43011013103230
5101212003200
65043303340
71165131051
oct305072354
9117206056
1051672300
1127193189
121537ab50
13a922634
146c11028
15480a4a0
hex31474ec

51672300 has 72 divisors (see below), whose sum is σ = 153188112. Its totient is φ = 13440000.

The previous prime is 51672281. The next prime is 51672323. The reversal of 51672300 is 327615.

51672300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 10200 + ... + 14400.

Almost surely, 251672300 is an apocalyptic number.

51672300 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 51672300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76594056).

51672300 is an abundant number, since it is smaller than the sum of its proper divisors (101515812).

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

51672300 is a wasteful number, since it uses less digits than its factorization.

51672300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4259 (or 4252 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 51672300 is about 7188.3447329688. The cubic root of 51672300 is about 372.4653962420.

Adding to 51672300 its reverse (327615), we get a palindrome (51999915).

The spelling of 51672300 in words is "fifty-one million, six hundred seventy-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 615 820 1025 1230 2050 2460 3075 4100 4201 6150 8402 12300 12603 16804 21005 25206 42010 50412 63015 84020 105025 126030 172241 210050 252060 315075 344482 420100 516723 630150 688964 861205 1033446 1260300 1722410 2066892 2583615 3444820 4306025 5167230 8612050 10334460 12918075 17224100 25836150 51672300