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40235104 = 2571341337
BaseRepresentation
bin1001100101111…
…1000001100000
32210201011012001
42121133001200
540300010404
63554213344
7665664340
oct231370140
983634161
1040235104
1120791258
1211584254
138449870
1454b4d20
1537eb7a4
hex265f060

40235104 has 96 divisors (see below), whose sum is σ = 100166976. Its totient is φ = 15482880.

The previous prime is 40235101. The next prime is 40235123. The reversal of 40235104 is 40153204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40235101) 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, 119224 + ... + 119560.

It is an arithmetic number, because the mean of its divisors is an integer number (1043406).

Almost surely, 240235104 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 40235104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50083488).

40235104 is an abundant number, since it is smaller than the sum of its proper divisors (59931872).

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

40235104 is a wasteful number, since it uses less digits than its factorization.

40235104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 40235104 is about 6343.1146923258. The cubic root of 40235104 is about 342.6639178436.

Adding to 40235104 its reverse (40153204), we get a palindrome (80388308).

The spelling of 40235104 in words is "forty million, two hundred thirty-five thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 41 52 56 82 91 104 112 164 182 208 224 287 328 337 364 416 533 574 656 674 728 1066 1148 1312 1348 1456 2132 2296 2359 2696 2912 3731 4264 4381 4592 4718 5392 7462 8528 8762 9184 9436 10784 13817 14924 17056 17524 18872 27634 29848 30667 35048 37744 55268 59696 61334 70096 75488 96719 110536 119392 122668 140192 179621 193438 221072 245336 359242 386876 442144 490672 718484 773752 981344 1257347 1436968 1547504 2514694 2873936 3095008 5029388 5747872 10058776 20117552 40235104