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2485555842 = 237116837877
BaseRepresentation
bin1001010000100110…
…1001001010000010
320102020000022121210
42110021221022002
520042300241332
61050350030550
7115410606330
oct22411511202
96366008553
102485555842
111066038990
125944a8456
13307c42b03
14198170b50
15e8325ecc
hex94269282

2485555842 has 64 divisors (see below), whose sum is σ = 6207611904. Its totient is φ = 644571840.

The previous prime is 2485555841. The next prime is 2485555843.

2485555842 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2485555841) and next prime (2485555843).

It is a junction number, because it is equal to n+sod(n) for n = 2485555791 and 2485555800.

It is not an unprimeable number, because it can be changed into a prime (2485555841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311608 + ... + 319484.

It is an arithmetic number, because the mean of its divisors is an integer number (96993936).

Almost surely, 22485555842 is an apocalyptic number.

2485555842 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2485555842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3103805952).

2485555842 is an abundant number, since it is smaller than the sum of its proper divisors (3722056062).

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

2485555842 is a wasteful number, since it uses less digits than its factorization.

2485555842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8583.

The product of its digits is 2560000, while the sum is 48.

The square root of 2485555842 is about 49855.3491814068. The cubic root of 2485555842 is about 1354.5899263349.

The spelling of 2485555842 in words is "two billion, four hundred eighty-five million, five hundred fifty-five thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 683 1366 2049 4098 4781 7513 7877 9562 14343 15026 15754 22539 23631 28686 45078 47262 52591 55139 86647 105182 110278 157773 165417 173294 259941 315546 330834 519882 606529 1213058 1819587 3639174 5379991 10759982 16139973 32279946 37659937 59179901 75319874 112979811 118359802 177539703 225959622 355079406 414259307 828518614 1242777921 2485555842