Search a number
-
+
40261500 = 22325323389
BaseRepresentation
bin1001100110010…
…1011101111100
32210202111101200
42121211131330
540301332000
63554535500
7666134316
oct231453574
983674350
1040261500
11207aa074
1211597590
138458896
1454c07b6
153804500
hex266577c

40261500 has 144 divisors (see below), whose sum is σ = 132874560. Its totient is φ = 10243200.

The previous prime is 40261453. The next prime is 40261531. The reversal of 40261500 is 516204.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103306 + ... + 103694.

It is an arithmetic number, because the mean of its divisors is an integer number (922740).

Almost surely, 240261500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40261500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66437280).

40261500 is an abundant number, since it is smaller than the sum of its proper divisors (92613060).

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

40261500 is a wasteful number, since it uses less digits than its factorization.

40261500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 40261500 is about 6345.1950324635. The cubic root of 40261500 is about 342.7388356694.

Adding to 40261500 its reverse (516204), we get a palindrome (40777704).

The spelling of 40261500 in words is "forty million, two hundred sixty-one thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 25 30 36 45 46 50 60 69 75 90 92 100 115 125 138 150 180 207 225 230 250 276 300 345 375 389 414 450 460 500 575 690 750 778 828 900 1035 1125 1150 1167 1380 1500 1556 1725 1945 2070 2250 2300 2334 2875 3450 3501 3890 4140 4500 4668 5175 5750 5835 6900 7002 7780 8625 8947 9725 10350 11500 11670 14004 17250 17505 17894 19450 20700 23340 25875 26841 29175 34500 35010 35788 38900 44735 48625 51750 53682 58350 70020 80523 87525 89470 97250 103500 107364 116700 134205 145875 161046 175050 178940 194500 223675 268410 291750 322092 350100 402615 437625 447350 536820 583500 671025 805230 875250 894700 1118375 1342050 1610460 1750500 2013075 2236750 2684100 3355125 4026150 4473500 6710250 8052300 10065375 13420500 20130750 40261500