Search a number
-
+
40755312 = 2434134159
BaseRepresentation
bin1001101101111…
…0000001110000
32211200120210000
42123132001300
540413132222
64013310000
71003262103
oct233360160
984616700
1040755312
1121007084
1211795300
13859c590
1455ac73a
1538a09ac
hex26de070

40755312 has 200 divisors, whose sum is σ = 132335280. Its totient is φ = 12026880.

The previous prime is 40755289. The next prime is 40755331. The reversal of 40755312 is 21355704.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 690739 + ... + 690797.

Almost surely, 240755312 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 40755312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66167640).

40755312 is an abundant number, since it is smaller than the sum of its proper divisors (91579968).

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

40755312 is a wasteful number, since it uses less digits than its factorization.

40755312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 40755312 is about 6383.9887217945. The cubic root of 40755312 is about 344.1343895323.

The spelling of 40755312 in words is "forty million, seven hundred fifty-five thousand, three hundred twelve".