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2075042472 = 233413076869
BaseRepresentation
bin111101110101110…
…1010001010101000
312100121120002010220
41323223222022220
513222202324342
6541523210040
7102264366336
oct17353521250
95317502126
102075042472
11975342138
1249ab16920
13270b900a9
14159830b56
15c22875ec
hex7baea2a8

2075042472 has 64 divisors (see below), whose sum is σ = 5332219200. Its totient is φ = 672514560.

The previous prime is 2075042419. The next prime is 2075042477. The reversal of 2075042472 is 2742405702.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2075042477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298654 + ... + 305522.

It is an arithmetic number, because the mean of its divisors is an integer number (83315925).

Almost surely, 22075042472 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 2075042472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666109600).

2075042472 is an abundant number, since it is smaller than the sum of its proper divisors (3257176728).

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

2075042472 is a wasteful number, since it uses less digits than its factorization.

2075042472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7226 (or 7222 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 33.

The square root of 2075042472 is about 45552.6340841010. The cubic root of 2075042472 is about 1275.4859041480.

The spelling of 2075042472 in words is "two billion, seventy-five million, forty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 307 328 492 614 921 984 1228 1842 2456 3684 6869 7368 12587 13738 20607 25174 27476 37761 41214 50348 54952 75522 82428 100696 151044 164856 281629 302088 563258 844887 1126516 1689774 2108783 2253032 3379548 4217566 6326349 6759096 8435132 12652698 16870264 25305396 50610792 86460103 172920206 259380309 345840412 518760618 691680824 1037521236 2075042472