Search a number
-
+
40036440 = 2335437759
BaseRepresentation
bin1001100010111…
…0100001011000
32210100001200010
42120232201120
540222131230
63550041520
7664206213
oct230564130
983301603
1040036440
1120665a74
12114a92a0
1383aa302
14546277a
1537ac9b0
hex262e858

40036440 has 64 divisors (see below), whose sum is σ = 122918400. Its totient is φ = 10426752.

The previous prime is 40036429. The next prime is 40036441. The reversal of 40036440 is 4463004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40036441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1281 + ... + 9039.

It is an arithmetic number, because the mean of its divisors is an integer number (1920600).

Almost surely, 240036440 is an apocalyptic number.

40036440 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 40036440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61459200).

40036440 is an abundant number, since it is smaller than the sum of its proper divisors (82881960).

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

40036440 is a wasteful number, since it uses less digits than its factorization.

40036440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7816 (or 7812 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 40036440 is about 6327.4354994737. The cubic root of 40036440 is about 342.0990103539.

Adding to 40036440 its reverse (4463004), we get a palindrome (44499444).

The spelling of 40036440 in words is "forty million, thirty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 7759 15518 23277 31036 38795 46554 62072 77590 93108 116385 155180 186216 232770 310360 333637 465540 667274 931080 1000911 1334548 1668185 2001822 2669096 3336370 4003644 5004555 6672740 8007288 10009110 13345480 20018220 40036440