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40312832 = 21371937
BaseRepresentation
bin1001100111001…
…0000000000000
32210212002210212
42121302000000
540310002312
64000013252
7666440060
oct231620000
983762725
1040312832
112083469a
1211601228
138476061
1454d53a0
153814822
hex2672000

40312832 has 112 divisors (see below), whose sum is σ = 99608640. Its totient is φ = 15925248.

The previous prime is 40312829. The next prime is 40312873. The reversal of 40312832 is 23821304.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 40312798 and 40312807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1089518 + ... + 1089554.

Almost surely, 240312832 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 40312832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49804320).

40312832 is an abundant number, since it is smaller than the sum of its proper divisors (59295808).

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

40312832 is an equidigital number, since it uses as much as digits as its factorization.

40312832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 40312832 is about 6349.2386945208. The cubic root of 40312832 is about 342.8844338065.

The spelling of 40312832 in words is "forty million, three hundred twelve thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 37 38 56 64 74 76 112 128 133 148 152 224 256 259 266 296 304 448 512 518 532 592 608 703 896 1024 1036 1064 1184 1216 1406 1792 2048 2072 2128 2368 2432 2812 3584 4096 4144 4256 4736 4864 4921 5624 7168 8192 8288 8512 9472 9728 9842 11248 14336 16576 17024 18944 19456 19684 22496 28672 33152 34048 37888 38912 39368 44992 57344 66304 68096 75776 77824 78736 89984 132608 136192 151552 155648 157472 179968 265216 272384 303104 314944 359936 530432 544768 629888 719872 1060864 1089536 1259776 1439744 2121728 2519552 2879488 5039104 5758976 10078208 20156416 40312832