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40225264 = 2417413607
BaseRepresentation
bin1001100101110…
…0100111110000
32210200122200121
42121130213300
540244202024
63554100024
7665623552
oct231344760
983618617
1040225264
1120784922
121157a614
138445241
1454b14d2
1537e88e4
hex265c9f0

40225264 has 40 divisors (see below), whose sum is σ = 84557088. Its totient is φ = 18462720.

The previous prime is 40225249. The next prime is 40225271. The reversal of 40225264 is 46252204.

40225264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9349 + ... + 12955.

Almost surely, 240225264 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 40225264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42278544).

40225264 is an abundant number, since it is smaller than the sum of its proper divisors (44331824).

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

40225264 is a wasteful number, since it uses less digits than its factorization.

40225264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3673 (or 3667 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 40225264 is about 6342.3390007157. The cubic root of 40225264 is about 342.6359813112.

Adding to 40225264 its reverse (46252204), we get a palindrome (86477468).

The spelling of 40225264 in words is "forty million, two hundred twenty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 17 34 41 68 82 136 164 272 328 656 697 1394 2788 3607 5576 7214 11152 14428 28856 57712 61319 122638 147887 245276 295774 490552 591548 981104 1183096 2366192 2514079 5028158 10056316 20112632 40225264