Search a number
-
+
40409292 = 223711101433
BaseRepresentation
bin1001101000100…
…1100011001100
32211001000010110
42122021203030
540321044132
64002040020
71000321230
oct232114314
984030113
1040409292
11208a0110
1211649010
1384aac31
14551c5c0
1538331cc
hex26898cc

40409292 has 96 divisors (see below), whose sum is σ = 118992384. Its totient is φ = 10368000.

The previous prime is 40409279. The next prime is 40409309. The reversal of 40409292 is 29290404.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 93108 + ... + 93540.

It is an arithmetic number, because the mean of its divisors is an integer number (1239504).

Almost surely, 240409292 is an apocalyptic number.

40409292 is a gapful number since it is divisible by the number (42) 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 40409292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59496192).

40409292 is an abundant number, since it is smaller than the sum of its proper divisors (78583092).

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

40409292 is a wasteful number, since it uses less digits than its factorization.

40409292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 40409292 is about 6356.8303422382. The cubic root of 40409292 is about 343.1576990480.

Adding to 40409292 its reverse (29290404), we get a palindrome (69699696).

The spelling of 40409292 in words is "forty million, four hundred nine thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 101 132 154 202 231 303 308 404 433 462 606 707 866 924 1111 1212 1299 1414 1732 2121 2222 2598 2828 3031 3333 4242 4444 4763 5196 6062 6666 7777 8484 9093 9526 12124 13332 14289 15554 18186 19052 23331 28578 31108 33341 36372 43733 46662 57156 66682 87466 93324 100023 131199 133364 174932 200046 262398 306131 400092 481063 524796 612262 918393 962126 1224524 1443189 1836786 1924252 2886378 3367441 3673572 5772756 6734882 10102323 13469764 20204646 40409292