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42521454400 = 265226575909
BaseRepresentation
bin100111100110011110…
…011110011101000000
311001202101121200200111
4213212132132131000
51144040443020100
631311210201104
73033502253545
oct474636363500
9131671550614
1042521454400
1117040286057
1282a8423194
134018584109
1420b5404bcc
15118d04e6ba
hex9e679e740

42521454400 has 42 divisors (see below), whose sum is σ = 104629357670. Its totient is φ = 17008581120.

The previous prime is 42521454383. The next prime is 42521454407. The reversal of 42521454400 is 445412524.

It can be written as a sum of positive squares in 3 ways, for example, as 14130552384 + 28390902016 = 118872^2 + 168496^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42521454407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13286355 + ... + 13289554.

Almost surely, 242521454400 is an apocalyptic number.

42521454400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42521454400 is an abundant number, since it is smaller than the sum of its proper divisors (62107903270).

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

42521454400 is a wasteful number, since it uses less digits than its factorization.

42521454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26575931 (or 26575916 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 31.

Adding to 42521454400 its reverse (445412524), we get a palindrome (42966866924).

The spelling of 42521454400 in words is "forty-two billion, five hundred twenty-one million, four hundred fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 26575909 53151818 106303636 132879545 212607272 265759090 425214544 531518180 664397725 850429088 1063036360 1328795450 1700858176 2126072720 2657590900 4252145440 5315181800 8504290880 10630363600 21260727200 42521454400