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4249917342 = 2331112175879
BaseRepresentation
bin1111110101010000…
…1001011110011110
3101222011222011121000
43331110021132132
532200434323332
61541414251130
7210213462366
oct37524113636
911864864530
104249917342
111890a70890
129a7356aa6
135296355b8
142c460b9a6
1519d18eb7c
hexfd50979e

4249917342 has 64 divisors (see below), whose sum is σ = 10313049600. Its totient is φ = 1286576640.

The previous prime is 4249917293. The next prime is 4249917367. The reversal of 4249917342 is 2437199424.

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 31 ways as a sum of consecutive naturals, for example, 719959 + ... + 725837.

It is an arithmetic number, because the mean of its divisors is an integer number (161141400).

Almost surely, 24249917342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4249917342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5156524800).

4249917342 is an abundant number, since it is smaller than the sum of its proper divisors (6063132258).

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

4249917342 is a wasteful number, since it uses less digits than its factorization.

4249917342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7118 (or 7112 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 4249917342 is about 65191.3900910235. The cubic root of 4249917342 is about 1619.7953994008.

The spelling of 4249917342 in words is "four billion, two hundred forty-nine million, nine hundred seventeen thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 1217 2434 3651 5879 7302 10953 11758 13387 17637 21906 26774 32859 35274 40161 52911 64669 65718 80322 105822 120483 129338 158733 194007 240966 317466 361449 388014 582021 722898 1164042 1746063 3492126 7154743 14309486 21464229 42928458 64392687 78702173 128785374 157404346 193178061 236106519 386356122 472213038 708319557 1416639114 2124958671 4249917342