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2979948157 = 291009310181
BaseRepresentation
bin1011000110011110…
…0110011001111101
321200200022001101021
42301213212121331
522100331320112
61211410344141
7133563066334
oct26147463175
97620261337
102979948157
11129a11517a
126b1b8b051
133864b3644
14203aa6d1b
15126932907
hexb19e667d

2979948157 has 8 divisors (see below), whose sum is σ = 3083313240. Its totient is φ = 2876623680.

The previous prime is 2979948151. The next prime is 2979948187. The reversal of 2979948157 is 7518499792.

It can be written as a sum of positive squares in 4 ways, for example, as 584237241 + 2395710916 = 24171^2 + 48946^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2979948157 - 219 = 2979423869 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2979948095 and 2979948104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2979948151) 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 7 ways as a sum of consecutive naturals, for example, 287607 + ... + 297787.

It is an arithmetic number, because the mean of its divisors is an integer number (385414155).

Almost surely, 22979948157 is an apocalyptic number.

It is an amenable number.

2979948157 is a deficient number, since it is larger than the sum of its proper divisors (103365083).

2979948157 is a wasteful number, since it uses less digits than its factorization.

2979948157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20303.

The product of its digits is 11430720, while the sum is 61.

The square root of 2979948157 is about 54588.9014086197. The cubic root of 2979948157 is about 1439.0290775290.

The spelling of 2979948157 in words is "two billion, nine hundred seventy-nine million, nine hundred forty-eight thousand, one hundred fifty-seven".

Divisors: 1 29 10093 10181 292697 295249 102756833 2979948157