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40576880 = 2454189139
BaseRepresentation
bin1001101011001…
…0011101110000
32211100112000102
42122302131300
540341430010
64005411532
71001616641
oct232623560
984315012
1040576880
11209a5013
1211709ba8
1385392b6
1455636c8
153867ba5
hex26b2770

40576880 has 80 divisors (see below), whose sum is σ = 98431200. Its totient is φ = 15544320.

The previous prime is 40576873. The next prime is 40576897. The reversal of 40576880 is 8867504.

40576880 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 (80).

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, 291851 + ... + 291989.

It is an arithmetic number, because the mean of its divisors is an integer number (1230390).

Almost surely, 240576880 is an apocalyptic number.

40576880 is a gapful number since it is divisible by the number (40) 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 40576880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49215600).

40576880 is an abundant number, since it is smaller than the sum of its proper divisors (57854320).

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

40576880 is a wasteful number, since it uses less digits than its factorization.

40576880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 40576880 is about 6369.9984301411. The cubic root of 40576880 is about 343.6314332683.

It can be divided in two parts, 405 and 76880, that multiplied together give a square (31136400 = 55802).

The spelling of 40576880 in words is "forty million, five hundred seventy-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 89 139 164 178 205 278 328 356 410 445 556 656 695 712 820 890 1112 1390 1424 1640 1780 2224 2780 3280 3560 3649 5560 5699 7120 7298 11120 11398 12371 14596 18245 22796 24742 28495 29192 36490 45592 49484 56990 58384 61855 72980 91184 98968 113980 123710 145960 197936 227960 247420 291920 455920 494840 507211 989680 1014422 2028844 2536055 4057688 5072110 8115376 10144220 20288440 40576880