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56895540 = 223513231181
BaseRepresentation
bin1101100100001…
…0100000110100
310222001121000020
43121002200310
5104031124130
65351245140
71260414132
oct331024064
9128047006
1056895540
112a130509
12170797b0
13ba30c00
1477b0752
154edce10
hex3642834

56895540 has 144 divisors (see below), whose sum is σ = 179053056. Its totient is φ = 13478400.

The previous prime is 56895539. The next prime is 56895541. The reversal of 56895540 is 4559865.

It is an interprime number because it is at equal distance from previous prime (56895539) and next prime (56895541).

It is a junction number, because it is equal to n+sod(n) for n = 56895492 and 56895501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56895541) 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, 314250 + ... + 314430.

It is an arithmetic number, because the mean of its divisors is an integer number (1243424).

Almost surely, 256895540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56895540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89526528).

56895540 is an abundant number, since it is smaller than the sum of its proper divisors (122157516).

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

56895540 is a wasteful number, since it uses less digits than its factorization.

56895540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The square root of 56895540 is about 7542.9132303110. The cubic root of 56895540 is about 384.6148732096.

The spelling of 56895540 in words is "fifty-six million, eight hundred ninety-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 31 39 52 60 62 65 78 93 124 130 155 156 169 181 186 195 260 310 338 362 372 390 403 465 507 543 620 676 724 780 806 845 905 930 1014 1086 1209 1612 1690 1810 1860 2015 2028 2172 2353 2418 2535 2715 3380 3620 4030 4706 4836 5070 5239 5430 5611 6045 7059 8060 9412 10140 10478 10860 11222 11765 12090 14118 15717 16833 20956 22444 23530 24180 26195 28055 28236 30589 31434 33666 35295 47060 52390 56110 61178 62868 67332 70590 72943 78585 84165 91767 104780 112220 122356 141180 145886 152945 157170 168330 183534 218829 291772 305890 314340 336660 364715 367068 437658 458835 611780 729430 875316 917670 948259 1094145 1458860 1835340 1896518 2188290 2844777 3793036 4376580 4741295 5689554 9482590 11379108 14223885 18965180 28447770 56895540