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40104576 = 2732311123
BaseRepresentation
bin1001100011111…
…1001010000000
32210110112010200
42120333022000
540231321301
63551325200
7664611651
oct230771200
983415120
1040104576
1120702186
1211520800
138402325
14547d528
1537c2c86
hex263f280

40104576 has 96 divisors (see below), whose sum is σ = 119233920. Its totient is φ = 12925440.

The previous prime is 40104539. The next prime is 40104577. The reversal of 40104576 is 67540104.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×401045762 = 3216754032279552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40104577) 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 11 ways as a sum of consecutive naturals, for example, 35151 + ... + 36273.

It is an arithmetic number, because the mean of its divisors is an integer number (1242020).

Almost surely, 240104576 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 40104576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59616960).

40104576 is an abundant number, since it is smaller than the sum of its proper divisors (79129344).

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

40104576 is a wasteful number, since it uses less digits than its factorization.

40104576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 40104576 is about 6332.8173824926. The cubic root of 40104576 is about 342.2929673899.

Subtracting 40104576 from its reverse (67540104), we obtain a triangular number (27435528 = T7407).

The spelling of 40104576 in words is "forty million, one hundred four thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 279 288 372 384 496 558 576 744 992 1116 1123 1152 1488 1984 2232 2246 2976 3369 3968 4464 4492 5952 6738 8928 8984 10107 11904 13476 17856 17968 20214 26952 34813 35712 35936 40428 53904 69626 71872 80856 104439 107808 139252 143744 161712 208878 215616 278504 313317 323424 417756 431232 557008 626634 646848 835512 1114016 1253268 1293696 1671024 2228032 2506536 3342048 4456064 5013072 6684096 10026144 13368192 20052288 40104576