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2972677038 = 23412536783
BaseRepresentation
bin1011000100101111…
…0111001110101110
321200011121122021120
42301023313032232
522042001131123
61210550441410
7133444223622
oct26113671656
97604548246
102972677038
111295aa9291
126ab663266
13384b38bc6
14202b33182
15125e982e3
hexb12f73ae

2972677038 has 96 divisors (see below), whose sum is σ = 6377470848. Its totient is φ = 923070720.

The previous prime is 2972677033. The next prime is 2972677039. The reversal of 2972677038 is 8307762792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2972677033) 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 47 ways as a sum of consecutive naturals, for example, 35815345 + ... + 35815427.

It is an arithmetic number, because the mean of its divisors is an integer number (66431988).

Almost surely, 22972677038 is an apocalyptic number.

2972677038 is an abundant number, since it is smaller than the sum of its proper divisors (3404793810).

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

2972677038 is a wasteful number, since it uses less digits than its factorization.

2972677038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 51.

The square root of 2972677038 is about 54522.2618569699. The cubic root of 2972677038 is about 1437.8577066509.

The spelling of 2972677038 in words is "two billion, nine hundred seventy-two million, six hundred seventy-seven thousand, thirty-eight".

Divisors: 1 2 3 6 41 53 67 82 83 106 123 134 159 166 201 246 249 318 402 498 1681 2173 2747 3362 3403 3551 4346 4399 5043 5494 5561 6519 6806 7102 8241 8798 10086 10209 10653 11122 13038 13197 16482 16683 20418 21306 26394 33366 89093 112627 139523 145591 178186 180359 225254 228001 267279 279046 291182 294733 337881 360718 418569 436773 456002 534558 541077 589466 675762 684003 837138 873546 884199 1082154 1368006 1768398 5969231 7394719 9348041 11938462 12084053 14789438 17907693 18696082 22184157 24168106 28044123 35815386 36252159 44368314 56088246 72504318 495446173 990892346 1486338519 2972677038