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51930900 = 22325278243
BaseRepresentation
bin1100011000011…
…0011100010100
310121201100210200
43012012130110
5101243242100
65053020500
71200256020
oct306063424
9117640720
1051930900
112734a4aa
1215484730
13a9b3258
146c7b380
15485be00
hex3186714

51930900 has 108 divisors (see below), whose sum is σ = 186050592. Its totient is φ = 11868480.

The previous prime is 51930881. The next prime is 51930929. The reversal of 51930900 is 903915.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2179 + ... + 10421.

Almost surely, 251930900 is an apocalyptic number.

51930900 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 51930900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93025296).

51930900 is an abundant number, since it is smaller than the sum of its proper divisors (134119692).

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

51930900 is a wasteful number, since it uses less digits than its factorization.

51930900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8270 (or 8260 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 51930900 is about 7206.3097352251. The cubic root of 51930900 is about 373.0857112912.

The spelling of 51930900 in words is "fifty-one million, nine hundred thirty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 8243 16486 24729 32972 41215 49458 57701 74187 82430 98916 115402 123645 148374 164860 173103 206075 230804 247290 288505 296748 346206 370935 412150 494580 519309 577010 618225 692412 741870 824300 865515 1038618 1154020 1236450 1442525 1483740 1731030 1854675 2077236 2472900 2596545 2885050 3462060 3709350 4327575 5193090 5770100 7418700 8655150 10386180 12982725 17310300 25965450 51930900