Search a number
-
+
42896610 = 23251723253
BaseRepresentation
bin1010001110100…
…0110011100010
32222201101002100
42203220303202
541440142420
64131231230
71030421001
oct243506342
988641070
1042896610
1122239949
1212448516
138b6c113
1459a8c38
153b75190
hex28e8ce2

42896610 has 144 divisors (see below), whose sum is σ = 125778744. Its totient is φ = 10103808.

The previous prime is 42896573. The next prime is 42896611. The reversal of 42896610 is 1669824.

It can be written as a sum of positive squares in 4 ways, for example, as 41177889 + 1718721 = 6417^2 + 1311^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42896611) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 809344 + ... + 809396.

Almost surely, 242896610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42896610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62889372).

42896610 is an abundant number, since it is smaller than the sum of its proper divisors (82882134).

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

42896610 is a wasteful number, since it uses less digits than its factorization.

42896610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 42896610 is about 6549.5503662465. The cubic root of 42896610 is about 350.0587928445.

The spelling of 42896610 in words is "forty-two million, eight hundred ninety-six thousand, six hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 23 30 34 45 46 51 53 69 85 90 102 106 115 138 153 159 170 207 230 255 265 306 318 345 391 414 477 510 529 530 690 765 782 795 901 954 1035 1058 1173 1219 1530 1587 1590 1802 1955 2070 2346 2385 2438 2645 2703 3174 3519 3657 3910 4505 4761 4770 5290 5406 5865 6095 7038 7314 7935 8109 8993 9010 9522 10971 11730 12190 13515 15870 16218 17595 17986 18285 20723 21942 23805 26979 27030 28037 35190 36570 40545 41446 44965 47610 53958 54855 56074 62169 80937 81090 84111 89930 103615 109710 124338 134895 140185 161874 168222 186507 207230 252333 269790 280370 310845 373014 404685 420555 476629 504666 621690 809370 841110 932535 953258 1261665 1429887 1865070 2383145 2523330 2859774 4289661 4766290 7149435 8579322 14298870 21448305 42896610