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40973724 = 223211107967
BaseRepresentation
bin1001110001001…
…1010110011100
32212002200101100
42130103112130
540442124344
64022113100
71005161631
oct234232634
985080340
1040973724
1121146190
121187b790
138647b0c
145628188
1538e5569
hex271359c

40973724 has 72 divisors (see below), whose sum is σ = 114162048. Its totient is φ = 12287520.

The previous prime is 40973693. The next prime is 40973729. The reversal of 40973724 is 42737904.

40973724 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40973729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41889 + ... + 42855.

It is an arithmetic number, because the mean of its divisors is an integer number (1585584).

Almost surely, 240973724 is an apocalyptic number.

40973724 is a gapful number since it is divisible by the number (44) 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 40973724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57081024).

40973724 is an abundant number, since it is smaller than the sum of its proper divisors (73188324).

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

40973724 is a wasteful number, since it uses less digits than its factorization.

40973724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 40973724 is about 6401.0720977036. The cubic root of 40973724 is about 344.7480454051.

The spelling of 40973724 in words is "forty million, nine hundred seventy-three thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 107 132 198 214 321 396 428 642 963 967 1177 1284 1926 1934 2354 2901 3531 3852 3868 4708 5802 7062 8703 10593 10637 11604 14124 17406 21186 21274 31911 34812 42372 42548 63822 95733 103469 127644 191466 206938 310407 382932 413876 620814 931221 1138159 1241628 1862442 2276318 3414477 3724884 4552636 6828954 10243431 13657908 20486862 40973724