Search a number
-
+
2842097058 = 234371373461
BaseRepresentation
bin1010100101100110…
…1111010110100010
321100001220111020000
42221121233112202
521310034101213
61150004000430
7130300266153
oct25131572642
97301814200
102842097058
111229320649
12673990116
13363a79448
141cd66192a
151197a2c73
hexa966f5a2

2842097058 has 80 divisors (see below), whose sum is σ = 6590166264. Its totient is φ = 914768640.

The previous prime is 2842097047. The next prime is 2842097107. The reversal of 2842097058 is 8507902482.

It can be written as a sum of positive squares in 4 ways, for example, as 2619699489 + 222397569 = 51183^2 + 14913^2 .

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 819448 + ... + 822908.

Almost surely, 22842097058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2842097058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3295083132).

2842097058 is an abundant number, since it is smaller than the sum of its proper divisors (3748069206).

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

2842097058 is a wasteful number, since it uses less digits than its factorization.

2842097058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3649 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2842097058 is about 53311.3220432583. The cubic root of 2842097058 is about 1416.4882239896.

The spelling of 2842097058 in words is "two billion, eight hundred forty-two million, ninety-seven thousand, fifty-eight".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 137 162 222 274 333 411 666 822 999 1233 1998 2466 2997 3461 3699 5069 5994 6922 7398 10138 10383 11097 15207 20766 22194 30414 31149 45621 62298 91242 93447 128057 136863 186894 256114 273726 280341 384171 410589 474157 560682 768342 821178 948314 1152513 1422471 2305026 2844942 3457539 4267413 6915078 8534826 10372617 12802239 17543809 20745234 25604478 35087618 38406717 52631427 76813434 105262854 157894281 315788562 473682843 947365686 1421048529 2842097058