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56854000 = 2453731131
BaseRepresentation
bin1101100011100…
…0010111110000
310221222111000201
43120320113300
5104023312000
65350324544
71260152050
oct330702760
9127874021
1056854000
112a102285
1217059754
13ba18028
14779d560
154ed096a
hex36385f0

56854000 has 160 divisors (see below), whose sum is σ = 163418112. Its totient is φ = 18720000.

The previous prime is 56853997. The next prime is 56854019. The reversal of 56854000 is 45865.

56854000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 56854000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433935 + ... + 434065.

Almost surely, 256854000 is an apocalyptic number.

56854000 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 56854000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81709056).

56854000 is an abundant number, since it is smaller than the sum of its proper divisors (106564112).

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

56854000 is a wasteful number, since it uses less digits than its factorization.

56854000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 56854000 is about 7540.1591495140. The cubic root of 56854000 is about 384.5212467044.

Adding to 56854000 its reverse (45865), we get a palindrome (56899865).

The spelling of 56854000 in words is "fifty-six million, eight hundred fifty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 31 35 40 50 56 62 70 80 100 112 124 125 131 140 155 175 200 217 248 250 262 280 310 350 400 434 496 500 524 560 620 655 700 775 868 875 917 1000 1048 1085 1240 1310 1400 1550 1736 1750 1834 2000 2096 2170 2480 2620 2800 3100 3275 3472 3500 3668 3875 4061 4340 4585 5240 5425 6200 6550 7000 7336 7750 8122 8680 9170 10480 10850 12400 13100 14000 14672 15500 16244 16375 17360 18340 20305 21700 22925 26200 27125 28427 31000 32488 32750 36680 40610 43400 45850 52400 54250 56854 62000 64976 65500 73360 81220 86800 91700 101525 108500 113708 114625 131000 142135 162440 183400 203050 217000 227416 229250 262000 284270 324880 366800 406100 434000 454832 458500 507625 568540 710675 812200 917000 1015250 1137080 1421350 1624400 1834000 2030500 2274160 2842700 3553375 4061000 5685400 7106750 8122000 11370800 14213500 28427000 56854000