Search a number
-
+
40941000 = 2332534549
BaseRepresentation
bin1001110000101…
…1010111001000
32212001000111100
42130023113020
540440103000
64021301400
71004664342
oct234132710
985030440
1040941000
1121123641
1211864860
138635c59
14561a292
1538daa00
hex270b5c8

40941000 has 96 divisors (see below), whose sum is σ = 138411000. Its totient is φ = 10915200.

The previous prime is 40940957. The next prime is 40941007. The reversal of 40941000 is 14904.

It can be written as a sum of positive squares in 4 ways, for example, as 16793604 + 24147396 = 4098^2 + 4914^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40941007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6726 + ... + 11274.

Almost surely, 240941000 is an apocalyptic number.

40941000 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 40941000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69205500).

40941000 is an abundant number, since it is smaller than the sum of its proper divisors (97470000).

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

40941000 is a wasteful number, since it uses less digits than its factorization.

40941000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4576 (or 4559 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 40941000 is about 6398.5154528218. The cubic root of 40941000 is about 344.6562423451.

Adding to 40941000 its reverse (14904), we get a palindrome (40955904).

The spelling of 40941000 in words is "forty million, nine hundred forty-one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 4549 9000 9098 13647 18196 22745 27294 36392 40941 45490 54588 68235 81882 90980 109176 113725 136470 163764 181960 204705 227450 272940 327528 341175 409410 454900 545880 568625 682350 818820 909800 1023525 1137250 1364700 1637640 1705875 2047050 2274500 2729400 3411750 4094100 4549000 5117625 6823500 8188200 10235250 13647000 20470500 40941000