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40895712 = 25331113331
BaseRepresentation
bin1001110000000…
…0010011100000
32211221201101000
42130000103200
540432130322
64020312000
71004415324
oct234002340
984851330
1040895712
11210a2610
1211842600
13861b460
145607984
1538cc3ac
hex27004e0

40895712 has 192 divisors, whose sum is σ = 140555520. Its totient is φ = 11404800.

The previous prime is 40895689. The next prime is 40895719. The reversal of 40895712 is 21759804.

40895712 is a `hidden beast` number, since 4 + 0 + 89 + 571 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40895719) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123387 + ... + 123717.

It is an arithmetic number, because the mean of its divisors is an integer number (732060).

Almost surely, 240895712 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 40895712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70277760).

40895712 is an abundant number, since it is smaller than the sum of its proper divisors (99659808).

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

40895712 is a wasteful number, since it uses less digits than its factorization.

40895712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 40895712 is about 6394.9755277092. The cubic root of 40895712 is about 344.5291118336.

It can be divided in two parts, 4089 and 5712, that added together give a square (9801 = 992).

The spelling of 40895712 in words is "forty million, eight hundred ninety-five thousand, seven hundred twelve".