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56183040 = 283254877
BaseRepresentation
bin1101011001010…
…0100100000000
310220201101122100
43112110210000
5103340324130
65324110400
71251355644
oct326244400
9126641570
1056183040
1129794171
1216995400
13b841804
147666c24
154debc60
hex3594900

56183040 has 108 divisors (see below), whose sum is σ = 194427324. Its totient is φ = 14979072.

The previous prime is 56183033. The next prime is 56183041. The reversal of 56183040 is 4038165.

56183040 is a `hidden beast` number, since 5 + 618 + 3 + 0 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17842176 + 38340864 = 4224^2 + 6192^2 .

It is a junction number, because it is equal to n+sod(n) for n = 56182995 and 56183013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56183041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9082 + ... + 13958.

It is an arithmetic number, because the mean of its divisors is an integer number (1800253).

Almost surely, 256183040 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 56183040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97213662).

56183040 is an abundant number, since it is smaller than the sum of its proper divisors (138244284).

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

56183040 is a wasteful number, since it uses less digits than its factorization.

56183040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4904 (or 4887 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 56183040 is about 7495.5346707223. The cubic root of 56183040 is about 383.0026200377.

The spelling of 56183040 in words is "fifty-six million, one hundred eighty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 4877 5760 9754 11520 14631 19508 24385 29262 39016 43893 48770 58524 73155 78032 87786 97540 117048 146310 156064 175572 195080 219465 234096 292620 312128 351144 390160 438930 468192 585240 624256 702288 780320 877860 936384 1170480 1248512 1404576 1560640 1755720 1872768 2340960 2809152 3121280 3511440 3745536 4681920 5618304 6242560 7022880 9363840 11236608 14045760 18727680 28091520 56183040