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2979217242 = 2323121571097
BaseRepresentation
bin1011000110010011…
…0011111101011010
321200121220220202100
42301210303331122
522100134422432
61211342544230
7133553633361
oct26144637532
97617826670
102979217242
111299766011
126b1898076
133862b8a51
142039567d8
1512683b07c
hexb1933f5a

2979217242 has 72 divisors (see below), whose sum is σ = 6718514868. Its totient is φ = 954046080.

The previous prime is 2979217229. The next prime is 2979217249. The reversal of 2979217242 is 2427129792.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2839717521 + 139499721 = 53289^2 + 11811^2 .

It is not an unprimeable number, because it can be changed into a prime (2979217249) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2715238 + ... + 2716334.

Almost surely, 22979217242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2979217242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359257434).

2979217242 is an abundant number, since it is smaller than the sum of its proper divisors (3739297626).

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

2979217242 is a wasteful number, since it uses less digits than its factorization.

2979217242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1290 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 2979217242 is about 54582.2062764048. The cubic root of 2979217242 is about 1438.9114139669.

The spelling of 2979217242 in words is "two billion, nine hundred seventy-nine million, two hundred seventeen thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 157 186 279 314 471 558 942 961 1097 1413 1922 2194 2826 2883 3291 4867 5766 6582 8649 9734 9873 14601 17298 19746 29202 34007 43803 68014 87606 102021 150877 172229 204042 301754 306063 344458 452631 516687 612126 905262 1033374 1054217 1357893 1550061 2108434 2715786 3100122 3162651 5339099 6325302 9487953 10678198 16017297 18975906 32034594 48051891 96103782 165512069 331024138 496536207 993072414 1489608621 2979217242