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83795985 = 33571319359
BaseRepresentation
bin1001111111010…
…10000000010001
312211200021111000
410333222000101
5132422432420
612152012213
72035153110
oct477520021
9184607430
1083795985
1143334189
1224091069
131448c130
14b1b3c77
157553690
hex4fea011

83795985 has 128 divisors (see below), whose sum is σ = 193536000. Its totient is φ = 33405696.

The previous prime is 83795983. The next prime is 83796049. The reversal of 83795985 is 58959738.

It is not a de Polignac number, because 83795985 - 21 = 83795983 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83795983) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 233236 + ... + 233594.

It is an arithmetic number, because the mean of its divisors is an integer number (1512000).

Almost surely, 283795985 is an apocalyptic number.

It is an amenable number.

83795985 is an abundant number, since it is smaller than the sum of its proper divisors (109740015).

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

83795985 is a wasteful number, since it uses less digits than its factorization.

83795985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 406 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The square root of 83795985 is about 9154.0146930186. The cubic root of 83795985 is about 437.5970679858.

The spelling of 83795985 in words is "eighty-three million, seven hundred ninety-five thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 13 15 19 21 27 35 39 45 57 63 65 91 95 105 117 133 135 171 189 195 247 273 285 315 351 359 399 455 513 585 665 741 819 855 945 1077 1197 1235 1365 1729 1755 1795 1995 2223 2457 2513 2565 3231 3591 3705 4095 4667 5187 5385 5985 6669 6821 7539 8645 9693 11115 12285 12565 14001 15561 16155 17955 20463 22617 23335 25935 32669 33345 34105 37695 42003 46683 47747 48465 61389 67851 70005 77805 88673 98007 102315 113085 126009 143241 163345 184167 210015 233415 238735 266019 294021 306945 339255 429723 443365 490035 620711 630045 716205 798057 882063 920835 1289169 1330095 1470105 1862133 2148615 2394171 3103555 3990285 4410315 5586399 6445845 9310665 11970855 16759197 27931995 83795985