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70200288 = 25321912829
BaseRepresentation
bin1000010111100…
…10101111100000
311220002112200200
410023302233200
5120432402123
610544345200
71511456364
oct413625740
9156075620
1070200288
1136698574
121b615200
131170ba42
1494752a4
15626a143
hex42f2be0

70200288 has 72 divisors (see below), whose sum is σ = 210155400. Its totient is φ = 22166784.

The previous prime is 70200283. The next prime is 70200311. The reversal of 70200288 is 88200207.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70200283) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 943 + ... + 11886.

It is an arithmetic number, because the mean of its divisors is an integer number (2918825).

Almost surely, 270200288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70200288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105077700).

70200288 is an abundant number, since it is smaller than the sum of its proper divisors (139955112).

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

70200288 is a wasteful number, since it uses less digits than its factorization.

70200288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12864 (or 12853 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 70200288 is about 8378.5612130007. The cubic root of 70200288 is about 412.5212242523.

The spelling of 70200288 in words is "seventy million, two hundred thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 12829 25658 38487 51316 76974 102632 115461 153948 205264 230922 243751 307896 410528 461844 487502 615792 731253 923688 975004 1231584 1462506 1847376 1950008 2193759 2925012 3694752 3900016 4387518 5850024 7800032 8775036 11700048 17550072 23400096 35100144 70200288