Search a number
-
+
40199808 = 2731131307
BaseRepresentation
bin1001100101011…
…0011010000000
32210122100202210
42121112122000
540242343213
63553342120
7665456415
oct231263200
983570683
1040199808
1120767790
1211567940
13843678c
1454a610c
1537e10c3
hex2656680

40199808 has 128 divisors (see below), whose sum is σ = 120637440. Its totient is φ = 11750400.

The previous prime is 40199759. The next prime is 40199821. The reversal of 40199808 is 80899104.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130791 + ... + 131097.

It is an arithmetic number, because the mean of its divisors is an integer number (942480).

Almost surely, 240199808 is an apocalyptic number.

40199808 is a gapful number since it is divisible by the number (48) 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 40199808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60318720).

40199808 is an abundant number, since it is smaller than the sum of its proper divisors (80437632).

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

40199808 is a wasteful number, since it uses less digits than its factorization.

40199808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 40199808 is about 6340.3318525137. The cubic root of 40199808 is about 342.5636885843.

The spelling of 40199808 in words is "forty million, one hundred ninety-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 128 132 176 186 192 248 264 307 341 352 372 384 496 528 614 682 704 744 921 992 1023 1056 1228 1364 1408 1488 1842 1984 2046 2112 2456 2728 2976 3377 3684 3968 4092 4224 4912 5456 5952 6754 7368 8184 9517 9824 10131 10912 11904 13508 14736 16368 19034 19648 20262 21824 27016 28551 29472 32736 38068 39296 40524 43648 54032 57102 58944 65472 76136 81048 104687 108064 114204 117888 130944 152272 162096 209374 216128 228408 304544 314061 324192 418748 432256 456816 609088 628122 648384 837496 913632 1218176 1256244 1296768 1674992 1827264 2512488 3349984 3654528 5024976 6699968 10049952 13399936 20099904 40199808