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40107088 = 247251157
BaseRepresentation
bin1001100011111…
…1110001010000
32210110122120201
42120333301100
540231411323
63551344544
7664622200
oct230776120
983418521
1040107088
112070405a
1211522154
138403508
145480400
1537c38ad
hex263fc50

40107088 has 30 divisors (see below), whose sum is σ = 90396186. Its totient is φ = 17188416.

The previous prime is 40107077. The next prime is 40107127. The reversal of 40107088 is 88070104.

40107088 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 only one way, i.e., 40043584 + 63504 = 6328^2 + 252^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 5 ways as a sum of consecutive naturals, for example, 24795 + ... + 26362.

Almost surely, 240107088 is an apocalyptic number.

It is an amenable number.

40107088 is an abundant number, since it is smaller than the sum of its proper divisors (50289098).

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

40107088 is a wasteful number, since it uses less digits than its factorization.

40107088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51179 (or 51166 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 40107088 is about 6333.0157113337. The cubic root of 40107088 is about 342.3001138893.

The spelling of 40107088 in words is "forty million, one hundred seven thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 51157 102314 204628 358099 409256 716198 818512 1432396 2506693 2864792 5013386 5729584 10026772 20053544 40107088