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56914200 = 23325274517
BaseRepresentation
bin1101100100011…
…1000100011000
310222002112121100
43121013010120
5104032223300
65351511400
71260522420
oct331070430
9128075540
1056914200
112a143532
1217088560
13ba39555
1477b7480
154ee3700
hex3647118

56914200 has 144 divisors (see below), whose sum is σ = 218490480. Its totient is φ = 13006080.

The previous prime is 56914127. The next prime is 56914217. The reversal of 56914200 is 241965.

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, 10342 + ... + 14858.

It is an arithmetic number, because the mean of its divisors is an integer number (1517295).

Almost surely, 256914200 is an apocalyptic number.

56914200 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 56914200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109245240).

56914200 is an abundant number, since it is smaller than the sum of its proper divisors (161576280).

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

56914200 is a wasteful number, since it uses less digits than its factorization.

56914200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4546 (or 4534 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 56914200 is about 7544.1500515300. The cubic root of 56914200 is about 384.6569159255.

The spelling of 56914200 in words is "fifty-six million, nine hundred fourteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840 900 1050 1260 1400 1575 1800 2100 2520 3150 4200 4517 6300 9034 12600 13551 18068 22585 27102 31619 36136 40653 45170 54204 63238 67755 81306 90340 94857 108408 112925 126476 135510 158095 162612 180680 189714 203265 225850 252952 271020 284571 316190 325224 338775 379428 406530 451700 474285 542040 569142 632380 677550 758856 790475 813060 903400 948570 1016325 1138284 1264760 1355100 1422855 1580950 1626120 1897140 2032650 2276568 2371425 2710200 2845710 3161900 3794280 4065300 4742850 5691420 6323800 7114275 8130600 9485700 11382840 14228550 18971400 28457100 56914200