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210084048 = 24328211777
BaseRepresentation
bin11001000010110…
…10000011010000
3112122022101010200
430201122003100
5412240142143
632502455200
75130453636
oct1441320320
9478271120
10210084048
11a8650289
125a434500
13346a81b5
141dc89356
151369c1d3
hexc85a0d0

210084048 has 60 divisors (see below), whose sum is σ = 588990948. Its totient is φ = 69903360.

The previous prime is 210084037. The next prime is 210084071. The reversal of 210084048 is 840480012.

210084048 is digitally balanced in base 3, 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 2 ways, for example, as 81216144 + 128867904 = 9012^2 + 11352^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117336 + ... + 119112.

Almost surely, 2210084048 is an apocalyptic number.

It is an amenable number.

210084048 is an abundant number, since it is smaller than the sum of its proper divisors (378906900).

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

210084048 is a wasteful number, since it uses less digits than its factorization.

210084048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2612 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 210084048 is about 14494.2763875952. The cubic root of 210084048 is about 594.4714822793.

The spelling of 210084048 in words is "two hundred ten million, eighty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 821 1642 1777 2463 3284 3554 4926 5331 6568 7108 7389 9852 10662 13136 14216 14778 15993 19704 21324 28432 29556 31986 39408 42648 59112 63972 85296 118224 127944 255888 1458917 2917834 4376751 5835668 8753502 11671336 13130253 17507004 23342672 26260506 35014008 52521012 70028016 105042024 210084048