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2493082872 = 23327191391873
BaseRepresentation
bin1001010010011001…
…0110110011111000
320102202011201202200
42110212112303320
520101212122442
61051215230200
7115531566120
oct22446266370
96382151680
102493082872
11106a30a075
12596b18360
13309679b87
1419916dc80
15e8d1134c
hex94996cf8

2493082872 has 192 divisors, whose sum is σ = 8185632000. Its totient is φ = 669606912.

The previous prime is 2493082849. The next prime is 2493082883. The reversal of 2493082872 is 2782803942.

2493082872 is a `hidden beast` number, since 2 + 493 + 0 + 82 + 87 + 2 = 666.

2493082872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1330128 + ... + 1332000.

It is an arithmetic number, because the mean of its divisors is an integer number (42633500).

Almost surely, 22493082872 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 2493082872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4092816000).

2493082872 is an abundant number, since it is smaller than the sum of its proper divisors (5692549128).

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

2493082872 is a wasteful number, since it uses less digits than its factorization.

2493082872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2493082872 is about 49930.7808070333. The cubic root of 2493082872 is about 1355.9559204613.

The spelling of 2493082872 in words is "two billion, four hundred ninety-three million, eighty-two thousand, eight hundred seventy-two".