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40800000 = 2835517
BaseRepresentation
bin1001101110100…
…0111100000000
32211202212002010
42123220330000
540421100000
64014252520
71003536303
oct233507400
984685063
1040800000
112103770a
12117b7140
1385b6a17
1455c0b3a
1538add50
hex26e8f00

40800000 has 216 divisors, whose sum is σ = 143709552. Its totient is φ = 10240000.

The previous prime is 40799989. The next prime is 40800073. The reversal of 40800000 is 804.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2399992 + ... + 2400008.

It is an arithmetic number, because the mean of its divisors is an integer number (665322).

Almost surely, 240800000 is an apocalyptic number.

40800000 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 40800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71854776).

40800000 is an abundant number, since it is smaller than the sum of its proper divisors (102909552).

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

40800000 is an frugal number, since it uses more digits than its factorization.

40800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 40800000 is about 6387.4877690685. The cubic root of 40800000 is about 344.2601241453.

Adding to 40800000 its reverse (804), we get a palindrome (40800804).

The spelling of 40800000 in words is "forty million, eight hundred thousand".