Search a number
-
+
40555008 = 293213677
BaseRepresentation
bin1001101010110…
…1001000000000
32211022102000100
42122231020000
540340230013
64005122400
71001466114
oct232551000
984272010
1040555008
112098a63a
12116b9400
13852c360
145559744
153861473
hex26ad200

40555008 has 120 divisors (see below), whose sum is σ = 126234108. Its totient is φ = 12460032.

The previous prime is 40554991. The next prime is 40555019. The reversal of 40555008 is 80055504.

It can be written as a sum of positive squares in 2 ways, for example, as 39538944 + 1016064 = 6288^2 + 1008^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59566 + ... + 60242.

Almost surely, 240555008 is an apocalyptic number.

40555008 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 40555008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63117054).

40555008 is an abundant number, since it is smaller than the sum of its proper divisors (85679100).

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

40555008 is a wasteful number, since it uses less digits than its factorization.

40555008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 40555008 is about 6368.2814008176. The cubic root of 40555008 is about 343.5696800602.

The spelling of 40555008 in words is "forty million, five hundred fifty-five thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 677 768 832 936 1152 1248 1354 1536 1664 1872 2031 2304 2496 2708 3328 3744 4062 4608 4992 5416 6093 6656 7488 8124 8801 9984 10832 12186 14976 16248 17602 19968 21664 24372 26403 29952 32496 35204 43328 48744 52806 59904 64992 70408 79209 86656 97488 105612 129984 140816 158418 173312 194976 211224 259968 281632 316836 346624 389952 422448 519936 563264 633672 779904 844896 1039872 1126528 1267344 1559808 1689792 2253056 2534688 3119616 3379584 4506112 5069376 6759168 10138752 13518336 20277504 40555008