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5420859296 = 251982710781
BaseRepresentation
bin1010000110001101…
…11011111110100000
3111222210022011222112
411003012323332200
542100214444141
62253523454452
7251222354336
oct50306737640
914883264875
105420859296
112331a2a906
121073527428
136850c4768
14395d35b56
1521ad8a7eb
hex1431bbfa0

5420859296 has 48 divisors (see below), whose sum is σ = 11248644960. Its totient is φ = 2564432640.

The previous prime is 5420859293. The next prime is 5420859313. The reversal of 5420859296 is 6929580245.

It is not an unprimeable number, because it can be changed into a prime (5420859293) 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, 497426 + ... + 508206.

It is an arithmetic number, because the mean of its divisors is an integer number (234346770).

Almost surely, 25420859296 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 5420859296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624322480).

5420859296 is an abundant number, since it is smaller than the sum of its proper divisors (5827785664).

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

5420859296 is a wasteful number, since it uses less digits than its factorization.

5420859296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11637 (or 11629 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 50.

The square root of 5420859296 is about 73626.4850172817. The cubic root of 5420859296 is about 1756.6667386473. Note that the first 3 decimals are identical.

The spelling of 5420859296 in words is "five billion, four hundred twenty million, eight hundred fifty-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 827 1654 3308 6616 10781 13232 15713 21562 26464 31426 43124 62852 86248 125704 172496 204839 251408 344992 409678 502816 819356 1638712 3277424 6554848 8915887 17831774 35663548 71327096 142654192 169401853 285308384 338803706 677607412 1355214824 2710429648 5420859296