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40783232 = 277231979
BaseRepresentation
bin1001101110010…
…0110110000000
32211202000002002
42123210312000
540420030412
64014043132
71003436360
oct233446600
984660062
1040783232
1121026056
12117a94a8
1385ac1b9
1455b89a0
1538a8dc2
hex26e4d80

40783232 has 64 divisors (see below), whose sum is σ = 96940800. Its totient is φ = 16710144.

The previous prime is 40783231. The next prime is 40783241. The reversal of 40783232 is 23238704.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 40783195 and 40783204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40783231) 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 7 ways as a sum of consecutive naturals, for example, 19619 + ... + 21597.

It is an arithmetic number, because the mean of its divisors is an integer number (1514700).

Almost surely, 240783232 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 40783232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48470400).

40783232 is an abundant number, since it is smaller than the sum of its proper divisors (56157568).

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

40783232 is a wasteful number, since it uses less digits than its factorization.

40783232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 40783232 is about 6386.1750680670. The cubic root of 40783232 is about 344.2129562960.

The spelling of 40783232 in words is "forty million, seven hundred eighty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 322 368 448 644 736 896 1288 1472 1979 2576 2944 3958 5152 7916 10304 13853 15832 20608 27706 31664 45517 55412 63328 91034 110824 126656 182068 221648 253312 318619 364136 443296 637238 728272 886592 1274476 1456544 1773184 2548952 2913088 5097904 5826176 10195808 20391616 40783232