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2073812832 = 2532713531493
BaseRepresentation
bin111101110011011…
…1101111101100000
312100112020121101200
41323212331331200
513221344002312
6541441001200
7102251055360
oct17346757540
95315217350
102073812832
11974682303
1249a623200
1327084c4b0
141595d09a0
15c20e30dc
hex7b9bdf60

2073812832 has 288 divisors, whose sum is σ = 7400248128. Its totient is φ = 536260608.

The previous prime is 2073812821. The next prime is 2073812833. The reversal of 2073812832 is 2382183702.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2073812833) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1388278 + ... + 1389770.

It is an arithmetic number, because the mean of its divisors is an integer number (25695306).

Almost surely, 22073812832 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 2073812832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3700124064).

2073812832 is an abundant number, since it is smaller than the sum of its proper divisors (5326435296).

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

2073812832 is a wasteful number, since it uses less digits than its factorization.

2073812832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2073812832 is about 45539.1351696538. The cubic root of 2073812832 is about 1275.2339095645.

The spelling of 2073812832 in words is "two billion, seventy-three million, eight hundred twelve thousand, eight hundred thirty-two".