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2076442368 = 283711133773
BaseRepresentation
bin111101111000011…
…1111111100000000
312100201012012102220
41323300333330000
513223032123433
6542013211040
7102312316560
oct17360777400
95321165386
102076442368
11976108980
1249b490a80
13271260330
14159ab6da0
15c24622b3
hex7bc3ff00

2076442368 has 576 divisors, whose sum is σ = 7724946432. Its totient is φ = 477757440.

The previous prime is 2076442363. The next prime is 2076442393. The reversal of 2076442368 is 8632446702.

It is a super-2 number, since 2×20764423682 = 8623225815250894848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2076442363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28444380 + ... + 28444452.

Almost surely, 22076442368 is an apocalyptic number.

2076442368 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 2076442368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862473216).

2076442368 is an abundant number, since it is smaller than the sum of its proper divisors (5648504064).

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

2076442368 is a wasteful number, since it uses less digits than its factorization.

2076442368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The square root of 2076442368 is about 45567.9971910111. The cubic root of 2076442368 is about 1275.7726687579.

It can be divided in two parts, 207644 and 2368, that added together give a palindrome (210012).

The spelling of 2076442368 in words is "two billion, seventy-six million, four hundred forty-two thousand, three hundred sixty-eight".