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40226364 = 22322953727
BaseRepresentation
bin1001100101110…
…0111000111100
32210200201012100
42121130320330
540244220424
63554105100
7665630013
oct231347074
983621170
1040226364
1120785732
121157b190
1384458a9
1454b1a7a
1537e8dc9
hex265ce3c

40226364 has 72 divisors (see below), whose sum is σ = 107321760. Its totient is φ = 12684672.

The previous prime is 40226353. The next prime is 40226413. The reversal of 40226364 is 46362204.

40226364 is a `hidden beast` number, since 4 + 0 + 22 + 636 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54969 + ... + 55695.

It is an arithmetic number, because the mean of its divisors is an integer number (1490580).

Almost surely, 240226364 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 40226364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53660880).

40226364 is an abundant number, since it is smaller than the sum of its proper divisors (67095396).

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

40226364 is a wasteful number, since it uses less digits than its factorization.

40226364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 40226364 is about 6342.4257189186. The cubic root of 40226364 is about 342.6391045237.

Adding to 40226364 its reverse (46362204), we get a palindrome (86588568).

The spelling of 40226364 in words is "forty million, two hundred twenty-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 53 58 87 106 116 159 174 212 261 318 348 477 522 636 727 954 1044 1454 1537 1908 2181 2908 3074 4362 4611 6148 6543 8724 9222 13086 13833 18444 21083 26172 27666 38531 42166 55332 63249 77062 84332 115593 126498 154124 189747 231186 252996 346779 379494 462372 693558 758988 1117399 1387116 2234798 3352197 4469596 6704394 10056591 13408788 20113182 40226364