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40928976 = 243611229
BaseRepresentation
bin1001110000100…
…0011011010000
32212000102000000
42130020123100
540434211401
64021130000
71004614314
oct234103320
985012000
1040928976
1121115600
1211859900
13863063a
145615b44
1538d7186
hex27086d0

40928976 has 210 divisors, whose sum is σ = 135193170. Its totient is φ = 11975040.

The previous prime is 40928971. The next prime is 40928977. The reversal of 40928976 is 67982904.

40928976 = 1502 + 1512 + ... + 5012.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 35283600 + 5645376 = 5940^2 + 2376^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40928971) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1411330 + ... + 1411358.

It is an arithmetic number, because the mean of its divisors is an integer number (643777).

Almost surely, 240928976 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 40928976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67596585).

40928976 is an abundant number, since it is smaller than the sum of its proper divisors (94264194).

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

40928976 is a wasteful number, since it uses less digits than its factorization.

40928976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 40928976 is about 6397.5757908758. The cubic root of 40928976 is about 344.6224982383.

The spelling of 40928976 in words is "forty million, nine hundred twenty-eight thousand, nine hundred seventy-six".