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90401800 = 2352452009
BaseRepresentation
bin1010110001101…
…10110000001000
320022002212221211
411120312300020
5141120324200
612545342504
72145255046
oct530666010
9208085854
1090401800
1147036235
1226337a34
1315962ab8
14c013396
157e0aaba
hex5636c08

90401800 has 24 divisors (see below), whose sum is σ = 210184650. Its totient is φ = 36160640.

The previous prime is 90401789. The next prime is 90401807. The reversal of 90401800 is 810409.

It can be written as a sum of positive squares in 3 ways, for example, as 77827684 + 12574116 = 8822^2 + 3546^2 .

It is not an unprimeable number, because it can be changed into a prime (90401807) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 225805 + ... + 226204.

Almost surely, 290401800 is an apocalyptic number.

It is an amenable number.

90401800 is an abundant number, since it is smaller than the sum of its proper divisors (119782850).

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

90401800 is a wasteful number, since it uses less digits than its factorization.

90401800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452025 (or 452016 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 90401800 is about 9507.9861169440. The cubic root of 90401800 is about 448.8063840823.

The spelling of 90401800 in words is "ninety million, four hundred one thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 452009 904018 1808036 2260045 3616072 4520090 9040180 11300225 18080360 22600450 45200900 90401800