Search a number
-
+
2032001244 = 2232713247713
BaseRepresentation
bin111100100011101…
…1110000011011100
312020121120100200100
41321013132003130
513130143014434
6533344501100
7101232503610
oct17107360334
95217510610
102032001244
11953014679
1248861a790
13264ca0200
14153c29340
15bd5d4699
hex791de0dc

2032001244 has 108 divisors (see below), whose sum is σ = 6356649936. Its totient is φ = 535901184.

The previous prime is 2032001239. The next prime is 2032001267. The reversal of 2032001244 is 4421002302.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18732 + ... + 66444.

Almost surely, 22032001244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2032001244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3178324968).

2032001244 is an abundant number, since it is smaller than the sum of its proper divisors (4324648692).

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

2032001244 is a wasteful number, since it uses less digits than its factorization.

2032001244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47756 (or 47738 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2032001244 is about 45077.7244767302. The cubic root of 2032001244 is about 1266.6053647464.

Adding to 2032001244 its reverse (4421002302), we get a palindrome (6453003546).

The spelling of 2032001244 in words is "two billion, thirty-two million, one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 169 182 234 252 273 338 364 468 507 546 676 819 1014 1092 1183 1521 1638 2028 2366 3042 3276 3549 4732 6084 7098 10647 14196 21294 42588 47713 95426 143139 190852 286278 333991 429417 572556 620269 667982 858834 1001973 1240538 1335964 1717668 1860807 2003946 2481076 3005919 3721614 4007892 4341883 5582421 6011838 7443228 8063497 8683766 11164842 12023676 13025649 16126994 17367532 22329684 24190491 26051298 32253988 39076947 48380982 52102596 56444479 72571473 78153894 96761964 112888958 145142946 156307788 169333437 225777916 290285892 338666874 508000311 677333748 1016000622 2032001244