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900042400 = 25521125053
BaseRepresentation
bin110101101001011…
…000111010100000
32022201120220001201
4311221120322200
53320402324100
6225151010544
731206143215
oct6551307240
92281526051
10900042400
114220611a4
12211509a54
1311460ca8a
148776bb0c
155403936a
hex35a58ea0

900042400 has 36 divisors (see below), whose sum is σ = 2197230462. Its totient is φ = 360016640.

The previous prime is 900042391. The next prime is 900042421. The reversal of 900042400 is 4240009.

It can be written as a sum of positive squares in 3 ways, for example, as 700555024 + 199487376 = 26468^2 + 14124^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 561727 + ... + 563326.

Almost surely, 2900042400 is an apocalyptic number.

It is an amenable number.

900042400 is an abundant number, since it is smaller than the sum of its proper divisors (1297188062).

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

900042400 is a wasteful number, since it uses less digits than its factorization.

900042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125073 (or 1125060 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 900042400 is about 30000.7066583439. The cubic root of 900042400 is about 965.5045461268.

Adding to 900042400 its reverse (4240009), we get a palindrome (904282409).

The spelling of 900042400 in words is "nine hundred million, forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1125053 2250106 4500212 5625265 9000424 11250530 18000848 22501060 28126325 36001696 45002120 56252650 90004240 112505300 180008480 225010600 450021200 900042400