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56424300 = 22352192521
BaseRepresentation
bin1101011100111…
…1011101101100
310221011122120220
43113033131230
5103421034200
65333211340
71253412222
oct327173554
9127148526
1056424300
1129939459
1216a90b50
13b8c757a
1476cab12
154e484a0
hex35cf76c

56424300 has 108 divisors (see below), whose sum is σ = 172629576. Its totient is φ = 14227200.

The previous prime is 56424293. The next prime is 56424311. The reversal of 56424300 is 342465.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 108040 + ... + 108560.

It is an arithmetic number, because the mean of its divisors is an integer number (1598422).

Almost surely, 256424300 is an apocalyptic number.

56424300 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 56424300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86314788).

56424300 is an abundant number, since it is smaller than the sum of its proper divisors (116205276).

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

56424300 is a wasteful number, since it uses less digits than its factorization.

56424300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 56424300 is about 7511.6110122929. The cubic root of 56424300 is about 383.5500643759.

Adding to 56424300 its reverse (342465), we get a palindrome (56766765).

The spelling of 56424300 in words is "fifty-six million, four hundred twenty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 361 380 475 521 570 722 950 1042 1083 1140 1425 1444 1563 1805 1900 2084 2166 2605 2850 3126 3610 4332 5210 5415 5700 6252 7220 7815 9025 9899 10420 10830 13025 15630 18050 19798 21660 26050 27075 29697 31260 36100 39075 39596 49495 52100 54150 59394 78150 98990 108300 118788 148485 156300 188081 197980 247475 296970 376162 494950 564243 593940 742425 752324 940405 989900 1128486 1484850 1880810 2256972 2821215 2969700 3761620 4702025 5642430 9404050 11284860 14106075 18808100 28212150 56424300