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40225864 = 2372891153
BaseRepresentation
bin1001100101110…
…0110001001000
32210200200111211
42121130301020
540244211424
63554102504
7665625400
oct231346110
983620454
1040225864
1120785318
121157aa34
1384455b3
1454b1800
1537e8b94
hex265cc48

40225864 has 48 divisors (see below), whose sum is σ = 88800300. Its totient is φ = 17031168.

The previous prime is 40225849. The next prime is 40225891. The reversal of 40225864 is 46852204.

It can be written as a sum of positive squares in 2 ways, for example, as 40220964 + 4900 = 6342^2 + 70^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 34312 + ... + 35464.

Almost surely, 240225864 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 40225864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44400150).

40225864 is an abundant number, since it is smaller than the sum of its proper divisors (48574436).

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

40225864 is a wasteful number, since it uses less digits than its factorization.

40225864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 40225864 is about 6342.3863017006. The cubic root of 40225864 is about 342.6376848887.

The spelling of 40225864 in words is "forty million, two hundred twenty-five thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 49 56 89 98 178 196 356 392 623 712 1153 1246 2306 2492 4361 4612 4984 8071 8722 9224 16142 17444 32284 34888 56497 64568 102617 112994 205234 225988 410468 451976 718319 820936 1436638 2873276 5028233 5746552 10056466 20112932 40225864