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40280064 = 213311149
BaseRepresentation
bin1001100110101…
…0000000000000
32210210102212020
42121222000000
540302430224
63555201440
7666242406
oct231520000
983712766
1040280064
1120812010
12115a6280
138464176
1454c7476
153809c79
hex266a000

40280064 has 112 divisors (see below), whose sum is σ = 117957600. Its totient is φ = 12124160.

The previous prime is 40280063. The next prime is 40280083. The reversal of 40280064 is 46008204.

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

It is not an unprimeable number, because it can be changed into a prime (40280063) by changing a digit.

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, 270262 + ... + 270410.

Almost surely, 240280064 is an apocalyptic number.

40280064 is a gapful number since it is divisible by the number (44) 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 40280064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58978800).

40280064 is an abundant number, since it is smaller than the sum of its proper divisors (77677536).

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

40280064 is a wasteful number, since it uses less digits than its factorization.

40280064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 40280064 is about 6346.6577030749. The cubic root of 40280064 is about 342.7915048951.

Adding to 40280064 its reverse (46008204), we get a palindrome (86288268).

The spelling of 40280064 in words is "forty million, two hundred eighty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 149 176 192 256 264 298 352 384 447 512 528 596 704 768 894 1024 1056 1192 1408 1536 1639 1788 2048 2112 2384 2816 3072 3278 3576 4096 4224 4768 4917 5632 6144 6556 7152 8192 8448 9536 9834 11264 12288 13112 14304 16896 19072 19668 22528 24576 26224 28608 33792 38144 39336 45056 52448 57216 67584 76288 78672 90112 104896 114432 135168 152576 157344 209792 228864 270336 305152 314688 419584 457728 610304 629376 839168 915456 1220608 1258752 1678336 1830912 2517504 3356672 3661824 5035008 6713344 10070016 13426688 20140032 40280064