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2074492728 = 23337112172329
BaseRepresentation
bin111101110100110…
…0011111100111000
312100120112011001000
41323221203330320
513222032231403
6541503325000
7102256616520
oct17351437470
95316464030
102074492728
11974aa7100
1249a8b0760
13270a29ab9
1415972a680
15c21c97a3
hex7ba63f38

2074492728 has 768 divisors, whose sum is σ = 8273664000. Its totient is φ = 468357120.

The previous prime is 2074492681. The next prime is 2074492747. The reversal of 2074492728 is 8272944702.

2074492728 is a `hidden beast` number, since 20 + 74 + 492 + 72 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 71534218 + ... + 71534246.

It is an arithmetic number, because the mean of its divisors is an integer number (10773000).

Almost surely, 22074492728 is an apocalyptic number.

2074492728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2074492728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4136832000).

2074492728 is an abundant number, since it is smaller than the sum of its proper divisors (6199171272).

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

2074492728 is a wasteful number, since it uses less digits than its factorization.

2074492728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2074492728 is about 45546.5995218084. The cubic root of 2074492728 is about 1275.3732554249.

The spelling of 2074492728 in words is "two billion, seventy-four million, four hundred ninety-two thousand, seven hundred twenty-eight".