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40193472 = 2631119031
BaseRepresentation
bin1001100101010…
…0110111000000
32210122001002010
42121110313000
540242142342
63553252520
7665432064
oct231246700
983561063
1040193472
1120762a50
1211564140
138433927
1454a3aa4
1537de29c
hex2654dc0

40193472 has 56 divisors (see below), whose sum is σ = 116019072. Its totient is φ = 12179200.

The previous prime is 40193431. The next prime is 40193477. The reversal of 40193472 is 27439104.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40193477) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7404 + ... + 11627.

Almost surely, 240193472 is an apocalyptic number.

It is an amenable number.

40193472 is an abundant number, since it is smaller than the sum of its proper divisors (75825600).

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

40193472 is a wasteful number, since it uses less digits than its factorization.

40193472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19057 (or 19047 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 40193472 is about 6339.8321744349. The cubic root of 40193472 is about 342.5456901768.

The spelling of 40193472 in words is "forty million, one hundred ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 19031 38062 57093 76124 114186 152248 209341 228372 304496 418682 456744 608992 628023 837364 913488 1217984 1256046 1674728 1826976 2512092 3349456 3653952 5024184 6698912 10048368 13397824 20096736 40193472