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40612500 = 223255192
BaseRepresentation
bin1001101011101…
…1001010010100
32211102022212200
42122323022110
540344100000
64010244500
71002125535
oct232731224
984368780
1040612500
1120a19855
1211726730
13854c586
14557268c
153873500
hex26bb294

40612500 has 162 divisors, whose sum is σ = 135424926. Its totient is φ = 10260000.

The previous prime is 40612493. The next prime is 40612513. The reversal of 40612500 is 521604.

It is a happy number.

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.

40612500 is a `hidden beast` number, since 4 + 0 + 612 + 50 + 0 = 666.

40612500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 18766224 + 21846276 = 4332^2 + 4674^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 53 ways as a sum of consecutive naturals, for example, 2137491 + ... + 2137509.

Almost surely, 240612500 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 40612500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67712463).

40612500 is an abundant number, since it is smaller than the sum of its proper divisors (94812426).

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

40612500 is a wasteful number, since it uses less digits than its factorization.

40612500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 40612500 is about 6372.7937358744. The cubic root of 40612500 is about 343.7319549756.

It can be divided in two parts, 4061 and 2500, that added together give a 8-th power (6561 = 38).

The spelling of 40612500 in words is "forty million, six hundred twelve thousand, five hundred".