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56781540 = 22335711481
BaseRepresentation
bin1101100010011…
…0101011100100
310221211210122000
43120212223210
5104014002130
65345005300
71256430564
oct330465344
9127753560
1056781540
112a0628a2
1217023830
13b9c105a
147780da4
154eb9260
hex3626ae4

56781540 has 96 divisors (see below), whose sum is σ = 179262720. Its totient is φ = 14918400.

The previous prime is 56781523. The next prime is 56781551. The reversal of 56781540 is 4518765.

56781540 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 56781495 and 56781504.

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, 37600 + ... + 39080.

It is an arithmetic number, because the mean of its divisors is an integer number (1867320).

Almost surely, 256781540 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 56781540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89631360).

56781540 is an abundant number, since it is smaller than the sum of its proper divisors (122481180).

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

56781540 is a wasteful number, since it uses less digits than its factorization.

56781540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 56781540 is about 7535.3526792049. The cubic root of 56781540 is about 384.3578207670.

The spelling of 56781540 in words is "fifty-six million, seven hundred eighty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 71 90 108 135 142 180 213 270 284 355 426 540 639 710 852 1065 1278 1420 1481 1917 2130 2556 2962 3195 3834 4260 4443 5924 6390 7405 7668 8886 9585 12780 13329 14810 17772 19170 22215 26658 29620 38340 39987 44430 53316 66645 79974 88860 105151 133290 159948 199935 210302 266580 315453 399870 420604 525755 630906 799740 946359 1051510 1261812 1577265 1892718 2103020 2839077 3154530 3785436 4731795 5678154 6309060 9463590 11356308 14195385 18927180 28390770 56781540