Search a number
-
+
56982040 = 23523241257
BaseRepresentation
bin1101100101011…
…1101000011000
310222012222122221
43121113220120
5104041411130
65353153424
71261224253
oct331275030
9128188587
1056982040
112a18a4a5
12170bb874
13ba613ab
1477d409a
15500887a
hex3657a18

56982040 has 64 divisors (see below), whose sum is σ = 134861760. Its totient is φ = 21626880.

The previous prime is 56981993. The next prime is 56982043. The reversal of 56982040 is 4028965.

It is a happy number.

56982040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 56981987 and 56982005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56982043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 221592 + ... + 221848.

It is an arithmetic number, because the mean of its divisors is an integer number (2107215).

Almost surely, 256982040 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 56982040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67430880).

56982040 is an abundant number, since it is smaller than the sum of its proper divisors (77879720).

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

56982040 is a wasteful number, since it uses less digits than its factorization.

56982040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 56982040 is about 7548.6449115056. The cubic root of 56982040 is about 384.8096883668.

The spelling of 56982040 in words is "fifty-six million, nine hundred eighty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 241 257 460 482 514 920 964 1028 1205 1285 1928 2056 2410 2570 4820 5140 5543 5911 9640 10280 11086 11822 22172 23644 27715 29555 44344 47288 55430 59110 61937 110860 118220 123874 221720 236440 247748 309685 495496 619370 1238740 1424551 2477480 2849102 5698204 7122755 11396408 14245510 28491020 56982040