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40809000 = 2335361223
BaseRepresentation
bin1001101110101…
…1001000101000
32211210022102110
42123223020220
540421342000
64014402320
71003604451
oct233531050
984708373
1040809000
1121043451
12118003a0
1385bab4b
1455c4128
1538b1850
hex26eb228

40809000 has 128 divisors (see below), whose sum is σ = 129991680. Its totient is φ = 10656000.

The previous prime is 40808987. The next prime is 40809029. The reversal of 40809000 is 90804.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182889 + ... + 183111.

It is an arithmetic number, because the mean of its divisors is an integer number (1015560).

Almost surely, 240809000 is an apocalyptic number.

40809000 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 40809000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64995840).

40809000 is an abundant number, since it is smaller than the sum of its proper divisors (89182680).

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

40809000 is a wasteful number, since it uses less digits than its factorization.

40809000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 40809000 is about 6388.1922325490. The cubic root of 40809000 is about 344.2854355286.

Adding to 40809000 its reverse (90804), we get a palindrome (40899804).

The spelling of 40809000 in words is "forty million, eight hundred nine thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 61 75 100 120 122 125 150 183 200 223 244 250 300 305 366 375 446 488 500 600 610 669 732 750 892 915 1000 1115 1220 1338 1464 1500 1525 1784 1830 2230 2440 2676 3000 3050 3345 3660 4460 4575 5352 5575 6100 6690 7320 7625 8920 9150 11150 12200 13380 13603 15250 16725 18300 22300 22875 26760 27206 27875 30500 33450 36600 40809 44600 45750 54412 55750 61000 66900 68015 81618 83625 91500 108824 111500 133800 136030 163236 167250 183000 204045 223000 272060 326472 334500 340075 408090 544120 669000 680150 816180 1020225 1360300 1632360 1700375 2040450 2720600 3400750 4080900 5101125 6801500 8161800 10202250 13603000 20404500 40809000