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40315800 = 23352729331
BaseRepresentation
bin1001100111001…
…0101110011000
32210212020212210
42121302232120
540310101200
64000035120
7666451530
oct231625630
983766783
1040315800
1120836948
1211602aa0
138477505
1454d64c0
153815650
hex2672b98

40315800 has 192 divisors, whose sum is σ = 148204800. Its totient is φ = 8870400.

The previous prime is 40315787. The next prime is 40315817. The reversal of 40315800 is 851304.

40315800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 47 ways as a sum of consecutive naturals, for example, 121635 + ... + 121965.

It is an arithmetic number, because the mean of its divisors is an integer number (771900).

Almost surely, 240315800 is an apocalyptic number.

40315800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40315800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74102400).

40315800 is an abundant number, since it is smaller than the sum of its proper divisors (107889000).

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

40315800 is a wasteful number, since it uses less digits than its factorization.

40315800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 40315800 is about 6349.4724190282. The cubic root of 40315800 is about 342.8928484640.

The spelling of 40315800 in words is "forty million, three hundred fifteen thousand, eight hundred".