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5842485 = 3251122937
BaseRepresentation
bin10110010010011000110101
3101222211101100
4112102120311
52443424420
6325120313
7100442325
oct26223065
911884340
105842485
113330600
121b59099
1312973bc
14ac1285
157a6190
hex592635

5842485 has 72 divisors (see below), whose sum is σ = 11826360. Its totient is φ = 2661120.

The previous prime is 5842471. The next prime is 5842493.

5842485 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 1656369 + 4186116 = 1287^2 + 2046^2 .

It is not a de Polignac number, because 5842485 - 210 = 5841461 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

5842485 is a lucky number.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 157887 + ... + 157923.

It is an arithmetic number, because the mean of its divisors is an integer number (164255).

Almost surely, 25842485 is an apocalyptic number.

5842485 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5842485 is an abundant number, since it is smaller than the sum of its proper divisors (5983875).

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

5842485 is a wasteful number, since it uses less digits than its factorization.

5842485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 85 counting only the distinct ones).

The product of its digits is 51200, while the sum is 36.

The square root of 5842485 is about 2417.1232901944. The cubic root of 5842485 is about 180.1078057903.

The spelling of 5842485 in words is "five million, eight hundred forty-two thousand, four hundred eighty-five".

Divisors: 1 3 5 9 11 15 29 33 37 45 55 87 99 111 121 145 165 185 261 319 333 363 407 435 495 555 605 957 1073 1089 1221 1305 1595 1665 1815 2035 2871 3219 3509 3663 4477 4785 5365 5445 6105 9657 10527 11803 13431 14355 16095 17545 18315 22385 31581 35409 40293 48285 52635 59015 67155 106227 129833 157905 177045 201465 389499 531135 649165 1168497 1947495 5842485