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56019040 = 2557114547
BaseRepresentation
bin1101010110110…
…0100001100000
310220102001200021
43111230201200
5103320102130
65320403224
71250103550
oct325544140
9126361607
1056019040
1129691a30
1216916514
13b7b4c7c
147623160
154db837a
hex356c860

56019040 has 96 divisors (see below), whose sum is σ = 165037824. Its totient is φ = 17456640.

The previous prime is 56019031. The next prime is 56019059. The reversal of 56019040 is 4091065.

It is a junction number, because it is equal to n+sod(n) for n = 56018996 and 56019014.

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 15 ways as a sum of consecutive naturals, for example, 10047 + ... + 14593.

It is an arithmetic number, because the mean of its divisors is an integer number (1719144).

Almost surely, 256019040 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 56019040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82518912).

56019040 is an abundant number, since it is smaller than the sum of its proper divisors (109018784).

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

56019040 is a wasteful number, since it uses less digits than its factorization.

56019040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4580 (or 4572 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 56019040 is about 7484.5868289439. The cubic root of 56019040 is about 382.6295914148.

It can be divided in two parts, 5601 and 9040, that added together give a palindrome (14641).

The spelling of 56019040 in words is "fifty-six million, nineteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1232 1540 1760 2464 3080 4547 6160 9094 12320 18188 22735 31829 36376 45470 50017 63658 72752 90940 100034 127316 145504 159145 181880 200068 250085 254632 318290 350119 363760 400136 500170 509264 636580 700238 727520 800272 1000340 1018528 1273160 1400476 1600544 1750595 2000680 2546320 2800952 3501190 4001360 5092640 5601904 7002380 8002720 11203808 14004760 28009520 56019040