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40287400 = 2352201437
BaseRepresentation
bin1001100110101…
…1110010101000
32210210210220221
42121223302220
540303144100
63555255424
7666302656
oct231536250
983723827
1040287400
112081757a
12115aa574
1384675ca
1454c9dd6
15380c01a
hex266bca8

40287400 has 24 divisors (see below), whose sum is σ = 93668670. Its totient is φ = 16114880.

The previous prime is 40287397. The next prime is 40287419. The reversal of 40287400 is 478204.

40287400 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 24462916 + 15824484 = 4946^2 + 3978^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 100519 + ... + 100918.

Almost surely, 240287400 is an apocalyptic number.

40287400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40287400 is an abundant number, since it is smaller than the sum of its proper divisors (53381270).

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

40287400 is a wasteful number, since it uses less digits than its factorization.

40287400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201453 (or 201444 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 40287400 is about 6347.2356187556. The cubic root of 40287400 is about 342.8123139140.

The spelling of 40287400 in words is "forty million, two hundred eighty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 201437 402874 805748 1007185 1611496 2014370 4028740 5035925 8057480 10071850 20143700 40287400