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40643232 = 2537311951
BaseRepresentation
bin1001101100001…
…0101010100000
32211110220000220
42123002222200
540401040412
64011043040
71002314250
oct233025240
984426026
1040643232
1120a3a953
1211740480
138560566
14557d960
15387c68c
hex26c2aa0

40643232 has 96 divisors (see below), whose sum is σ = 125927424. Its totient is φ = 11232000.

The previous prime is 40643219. The next prime is 40643233. The reversal of 40643232 is 23234604.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40643233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19857 + ... + 21807.

It is an arithmetic number, because the mean of its divisors is an integer number (1311744).

Almost surely, 240643232 is an apocalyptic number.

40643232 is a gapful number since it is divisible by the number (42) 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 40643232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62963712).

40643232 is an abundant number, since it is smaller than the sum of its proper divisors (85284192).

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

40643232 is a wasteful number, since it uses less digits than its factorization.

40643232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 40643232 is about 6375.2044673093. The cubic root of 40643232 is about 343.8186352426.

Adding to 40643232 its reverse (23234604), we get a palindrome (63877836).

The spelling of 40643232 in words is "forty million, six hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 1951 2604 2976 3472 3902 5208 5853 6944 7804 10416 11706 13657 15608 20832 23412 27314 31216 40971 46824 54628 60481 62432 81942 93648 109256 120962 163884 181443 187296 218512 241924 327768 362886 423367 437024 483848 655536 725772 846734 967696 1270101 1311072 1451544 1693468 1935392 2540202 2903088 3386936 5080404 5806176 6773872 10160808 13547744 20321616 40643232