Search a number
-
+
40999904 = 2511269433
BaseRepresentation
bin1001110001100…
…1101111100000
32212011000021222
42130121233200
540443444104
64022434212
71005331151
oct234315740
985130258
1040999904
1121163920
1211892968
1386569ca
145633928
1538ed1be
hex2719be0

40999904 has 48 divisors (see below), whose sum is σ = 88588080. Its totient is φ = 18524160.

The previous prime is 40999843. The next prime is 40999921.

It is a happy number.

40999904 is nontrivially palindromic in base 10.

40999904 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 (44).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 94472 + ... + 94904.

It is an arithmetic number, because the mean of its divisors is an integer number (1845585).

Almost surely, 240999904 is an apocalyptic number.

40999904 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 40999904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44294040).

40999904 is an abundant number, since it is smaller than the sum of its proper divisors (47588176).

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

40999904 is a wasteful number, since it uses less digits than its factorization.

40999904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 44.

The square root of 40999904 is about 6403.1167410879. The cubic root of 40999904 is about 344.8214549089.

The spelling of 40999904 in words is "forty million, nine hundred ninety-nine thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 269 352 433 538 866 1076 1732 2152 2959 3464 4304 4763 5918 6928 8608 9526 11836 13856 19052 23672 38104 47344 76208 94688 116477 152416 232954 465908 931816 1281247 1863632 2562494 3727264 5124988 10249976 20499952 40999904