Search a number
-
+
40855776 = 25313191723
BaseRepresentation
bin1001101111011…
…0100011100000
32211212200120220
42123312203200
540424341101
64015403040
71004161023
oct233664340
984780526
1040855776
1121075605
1211823480
138606220
1455d71ba
1538c0636
hex26f68e0

40855776 has 96 divisors (see below), whose sum is σ = 121645440. Its totient is φ = 11902464.

The previous prime is 40855769. The next prime is 40855817. The reversal of 40855776 is 67755804.

40855776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 22851 + ... + 24573.

It is an arithmetic number, because the mean of its divisors is an integer number (1267140).

Almost surely, 240855776 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 40855776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60822720).

40855776 is an abundant number, since it is smaller than the sum of its proper divisors (80789664).

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

40855776 is a wasteful number, since it uses less digits than its factorization.

40855776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 40855776 is about 6391.8523136881. The cubic root of 40855776 is about 344.4169273273.

The spelling of 40855776 in words is "forty million, eight hundred fifty-five thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 208 228 247 304 312 416 456 494 608 624 741 912 988 1248 1482 1723 1824 1976 2964 3446 3952 5169 5928 6892 7904 10338 11856 13784 20676 22399 23712 27568 32737 41352 44798 55136 65474 67197 82704 89596 98211 130948 134394 165408 179192 196422 261896 268788 358384 392844 425581 523792 537576 716768 785688 851162 1047584 1075152 1276743 1571376 1702324 2150304 2553486 3142752 3404648 5106972 6809296 10213944 13618592 20427888 40855776