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5827691936 = 251117257287
BaseRepresentation
bin1010110110101101…
…11000010110100000
3120001010211102110002
411123112320112200
543413342120221
62402135355132
7264262364333
oct53326702640
916033742402
105827691936
112520642230
121167822aa8
1371b489031
143d3d9861a
1524194d80b
hex15b5b85a0

5827691936 has 72 divisors (see below), whose sum is σ = 13296086496. Its totient is φ = 2493086720.

The previous prime is 5827691929. The next prime is 5827691939. The reversal of 5827691936 is 6391967285.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5827691939) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73085 + ... + 130371.

It is an arithmetic number, because the mean of its divisors is an integer number (184667868).

Almost surely, 25827691936 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 5827691936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6648043248).

5827691936 is an abundant number, since it is smaller than the sum of its proper divisors (7468394560).

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

5827691936 is a wasteful number, since it uses less digits than its factorization.

5827691936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57342 (or 57317 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 56.

The square root of 5827691936 is about 76339.3210344446. The cubic root of 5827691936 is about 1799.5566743605.

The spelling of 5827691936 in words is "five billion, eight hundred twenty-seven million, six hundred ninety-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 289 352 374 544 578 748 1156 1496 2312 2992 3179 4624 5984 6358 9248 12716 25432 50864 57287 101728 114574 229148 458296 630157 916592 973879 1260314 1833184 1947758 2520628 3895516 5041256 7791032 10082512 10712669 15582064 16555943 20165024 21425338 31164128 33111886 42850676 66223772 85701352 132447544 171402704 182115373 264895088 342805408 364230746 529790176 728461492 1456922984 2913845968 5827691936