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40418532 = 223272112083
BaseRepresentation
bin1001101000101…
…1110011100100
32211001110210200
42122023303210
540321343112
64002150500
71000360200
oct232136344
984043720
1040418532
11208a7050
1211652430
1384b21bb
145521b00
153835cdc
hex268bce4

40418532 has 108 divisors (see below), whose sum is σ = 129716496. Its totient is φ = 10493280.

The previous prime is 40418519. The next prime is 40418557. The reversal of 40418532 is 23581404.

40418532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 40418496 and 40418505.

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 35 ways as a sum of consecutive naturals, for example, 18363 + ... + 20445.

Almost surely, 240418532 is an apocalyptic number.

40418532 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 40418532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64858248).

40418532 is an abundant number, since it is smaller than the sum of its proper divisors (89297964).

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

40418532 is a wasteful number, since it uses less digits than its factorization.

40418532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 40418532 is about 6357.5570779978. The cubic root of 40418532 is about 343.1838525664.

Adding to 40418532 its reverse (23581404), we get a palindrome (63999936).

The spelling of 40418532 in words is "forty million, four hundred eighteen thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 49 63 66 77 84 98 99 126 132 147 154 196 198 231 252 294 308 396 441 462 539 588 693 882 924 1078 1386 1617 1764 2083 2156 2772 3234 4166 4851 6249 6468 8332 9702 12498 14581 18747 19404 22913 24996 29162 37494 43743 45826 58324 68739 74988 87486 91652 102067 131229 137478 160391 174972 204134 206217 262458 274956 306201 320782 408268 412434 481173 524916 612402 641564 824868 918603 962346 1122737 1224804 1443519 1837206 1924692 2245474 2887038 3368211 3674412 4490948 5774076 6736422 10104633 13472844 20209266 40418532