Search a number
-
+
978993051 = 33153832393
BaseRepresentation
bin111010010110100…
…011111110011011
32112020010222222220
4322112203332123
54001110234201
6241051115123
733155206101
oct7226437633
92466128886
10978993051
11462685a73
12233a42aa3
13127a9363a
149403dc71
155ae32036
hex3a5a3f9b

978993051 has 32 divisors (see below), whose sum is σ = 1389975552. Its totient is φ = 611969280.

The previous prime is 978993011. The next prime is 978993053. The reversal of 978993051 is 150399879.

It is a happy number.

It is not a de Polignac number, because 978993051 - 213 = 978984859 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 978992985 and 978993003.

It is not an unprimeable number, because it can be changed into a prime (978993053) by changing a digit.

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, 407911 + ... + 410303.

It is an arithmetic number, because the mean of its divisors is an integer number (43436736).

Almost surely, 2978993051 is an apocalyptic number.

978993051 is a deficient number, since it is larger than the sum of its proper divisors (410982501).

978993051 is a wasteful number, since it uses less digits than its factorization.

978993051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563.

The product of its (nonzero) digits is 612360, while the sum is 51.

The square root of 978993051 is about 31288.8646486254. The cubic root of 978993051 is about 992.9480708588.

The spelling of 978993051 in words is "nine hundred seventy-eight million, nine hundred ninety-three thousand, fifty-one".

Divisors: 1 3 31 53 83 93 159 249 1643 2393 2573 4399 4929 7179 7719 13197 74183 126829 136369 198619 222549 380487 409107 595857 3931699 6157189 10526807 11795097 18471567 31580421 326331017 978993051