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56344500 = 22325319659
BaseRepresentation
bin1101011011101…
…1111110110100
310221000121010100
43112323332310
5103411011000
65331354100
71252630452
oct326737664
9127017110
1056344500
1129894503
1216a52930
13b89a154
1476a99d2
154e2ea00
hex35bbfb4

56344500 has 144 divisors (see below), whose sum is σ = 187387200. Its totient is φ = 14212800.

The previous prime is 56344447. The next prime is 56344507. The reversal of 56344500 is 544365.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56344507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85171 + ... + 85829.

It is an arithmetic number, because the mean of its divisors is an integer number (1301300).

Almost surely, 256344500 is an apocalyptic number.

56344500 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 56344500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93693600).

56344500 is an abundant number, since it is smaller than the sum of its proper divisors (131042700).

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

56344500 is a wasteful number, since it uses less digits than its factorization.

56344500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 56344500 is about 7506.2973562203. The cubic root of 56344500 is about 383.3691627925.

Adding to 56344500 its reverse (544365), we get a palindrome (56888865).

The spelling of 56344500 in words is "fifty-six million, three hundred forty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 30 36 38 45 50 57 60 75 76 90 95 100 114 125 150 171 180 190 225 228 250 285 300 342 375 380 450 475 500 570 659 684 750 855 900 950 1125 1140 1318 1425 1500 1710 1900 1977 2250 2375 2636 2850 3295 3420 3954 4275 4500 4750 5700 5931 6590 7125 7908 8550 9500 9885 11862 12521 13180 14250 16475 17100 19770 21375 23724 25042 28500 29655 32950 37563 39540 42750 49425 50084 59310 62605 65900 75126 82375 85500 98850 112689 118620 125210 148275 150252 164750 187815 197700 225378 247125 250420 296550 313025 329500 375630 450756 494250 563445 593100 626050 741375 751260 939075 988500 1126890 1252100 1482750 1565125 1878150 2253780 2817225 2965500 3130250 3756300 4695375 5634450 6260500 9390750 11268900 14086125 18781500 28172250 56344500