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5892920768 = 267131100411
BaseRepresentation
bin1010111110011111…
…01101010111000000
3120012200120101120202
411133033231113000
544032041431033
62412425424332
7266014000010
oct53717552700
916180511522
105892920768
112554444659
12118563b0a8
1372bb46c87
143dc8d7c40
152475358e8
hex15f3ed5c0

5892920768 has 56 divisors (see below), whose sum is σ = 13466454144. Its totient is φ = 2506233600.

The previous prime is 5892920753. The next prime is 5892920779. The reversal of 5892920768 is 8670292985.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (56).

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 7 ways as a sum of consecutive naturals, for example, 8483 + ... + 108893.

Almost surely, 25892920768 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 5892920768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6733227072).

5892920768 is an abundant number, since it is smaller than the sum of its proper divisors (7573533376).

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

5892920768 is a wasteful number, since it uses less digits than its factorization.

5892920768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100561 (or 100551 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 56.

The square root of 5892920768 is about 76765.3617720909. The cubic root of 5892920768 is about 1806.2458709324.

It can be divided in two parts, 58929 and 20768, that added together give a palindrome (79697).

The spelling of 5892920768 in words is "five billion, eight hundred ninety-two million, nine hundred twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 131 224 262 448 524 917 1048 1834 2096 3668 4192 7336 8384 14672 29344 58688 100411 200822 401644 702877 803288 1405754 1606576 2811508 3213152 5623016 6426304 11246032 13153841 22492064 26307682 44984128 52615364 92076887 105230728 184153774 210461456 368307548 420922912 736615096 841845824 1473230192 2946460384 5892920768