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40791036 = 223112132161
BaseRepresentation
bin1001101110011…
…0101111111100
32211202101210010
42123212233330
540420303121
64014143220
71003501206
oct233465774
984671703
1040791036
1121030a00
12117b1b10
1385b2910
1455bb776
1538ab376
hex26e6bfc

40791036 has 72 divisors (see below), whose sum is σ = 112718032. Its totient is φ = 11404800.

The previous prime is 40791031. The next prime is 40791053. The reversal of 40791036 is 63019704.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 40790994 and 40791012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40791031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17796 + ... + 19956.

Almost surely, 240791036 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 40791036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56359016).

40791036 is an abundant number, since it is smaller than the sum of its proper divisors (71926996).

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

40791036 is a wasteful number, since it uses less digits than its factorization.

40791036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 40791036 is about 6386.7860462051. The cubic root of 40791036 is about 344.2349103072.

It can be divided in two parts, 4079 and 1036, that added together give a palindrome (5115).

The spelling of 40791036 in words is "forty million, seven hundred ninety-one thousand, thirty-six".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 121 132 143 156 242 286 363 429 484 572 726 858 1452 1573 1716 2161 3146 4322 4719 6292 6483 8644 9438 12966 18876 23771 25932 28093 47542 56186 71313 84279 95084 112372 142626 168558 261481 285252 309023 337116 522962 618046 784443 927069 1045924 1236092 1568886 1854138 3137772 3399253 3708276 6798506 10197759 13597012 20395518 40791036