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40933152 = 2532132292
BaseRepresentation
bin1001110000100…
…1011100100000
32212000121201200
42130021130200
540434330102
64021201200
71004632431
oct234113440
985017650
1040933152
1121118757
1211860200
138632500
145617488
1538d851c
hex2709720

40933152 has 162 divisors, whose sum is σ = 130542867. Its totient is φ = 12160512.

The previous prime is 40933141. The next prime is 40933153. The reversal of 40933152 is 25133904.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 6780816 + 34152336 = 2604^2 + 5844^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=4524.

It is not an unprimeable number, because it can be changed into a prime (40933153) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1411474 + ... + 1411502.

Almost surely, 240933152 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 40933152

40933152 is an abundant number, since it is smaller than the sum of its proper divisors (89609715).

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

40933152 is a wasteful number, since it uses less digits than its factorization.

40933152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 40933152 is about 6397.9021561759. The cubic root of 40933152 is about 344.6342184974.

The spelling of 40933152 in words is "forty million, nine hundred thirty-three thousand, one hundred fifty-two".