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2074386256 = 241917339443
BaseRepresentation
bin111101110100100…
…1001111101010000
312100120022201222121
41323221021331100
513222020330011
6541501144024
7102255664225
oct17351117520
95316281877
102074386256
11974a34108
1249a85b014
132709c04b7
141596dd94c
15c21a7e71
hex7ba49f50

2074386256 has 40 divisors (see below), whose sum is σ = 4255218720. Its totient is φ = 976899456.

The previous prime is 2074386253. The next prime is 2074386271. The reversal of 2074386256 is 6526834702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2074386253) 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 7 ways as a sum of consecutive naturals, for example, 32871 + ... + 72313.

It is an arithmetic number, because the mean of its divisors is an integer number (106380468).

Almost surely, 22074386256 is an apocalyptic number.

2074386256 is the 26296-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2074386256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127609360).

2074386256 is an abundant number, since it is smaller than the sum of its proper divisors (2180832464).

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

2074386256 is a wasteful number, since it uses less digits than its factorization.

2074386256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39643 (or 39637 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The square root of 2074386256 is about 45545.4306819027. The cubic root of 2074386256 is about 1275.3514358153.

The spelling of 2074386256 in words is "two billion, seventy-four million, three hundred eighty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 19 38 76 152 173 304 346 692 1384 2768 3287 6574 13148 26296 39443 52592 78886 157772 315544 631088 749417 1498834 2997668 5995336 6823639 11990672 13647278 27294556 54589112 109178224 129649141 259298282 518596564 1037193128 2074386256