Search a number
-
+
1941533316 = 22321923167739
BaseRepresentation
bin111001110111001…
…0111001010000100
312000022100010000100
41303232113022010
512434013031231
6520353444100
766053521662
oct16356271204
95008303010
101941533316
11906a43798
12462270630
1324c3162a8
14145bd9c32
15b56b41e6
hex73b97284

1941533316 has 144 divisors (see below), whose sum is σ = 5430297600. Its totient is φ = 582158016.

The previous prime is 1941533249. The next prime is 1941533327. The reversal of 1941533316 is 6133351491.

It is a happy number.

1941533316 is a `hidden beast` number, since 1 + 94 + 1 + 533 + 31 + 6 = 666.

1941533316 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2626875 + ... + 2627613.

It is an arithmetic number, because the mean of its divisors is an integer number (37710400).

Almost surely, 21941533316 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 1941533316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2715148800).

1941533316 is an abundant number, since it is smaller than the sum of its proper divisors (3488764284).

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

1941533316 is a wasteful number, since it uses less digits than its factorization.

1941533316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 953 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 1941533316 is about 44062.8337263958. The cubic root of 1941533316 is about 1247.5221990607.

The spelling of 1941533316 in words is "one billion, nine hundred forty-one million, five hundred thirty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 23 36 38 46 57 69 76 92 114 138 167 171 207 228 276 334 342 414 437 501 668 684 739 828 874 1002 1311 1478 1503 1748 2004 2217 2622 2956 3006 3173 3841 3933 4434 5244 6012 6346 6651 7682 7866 8868 9519 11523 12692 13302 14041 15364 15732 16997 19038 23046 26604 28082 28557 33994 34569 38076 42123 46092 50991 56164 57114 67988 69138 72979 84246 101982 114228 123413 126369 138276 145958 152973 168492 203964 218937 246826 252738 291916 305946 322943 370239 437874 493652 505476 611892 645886 656811 740478 875748 968829 1110717 1291772 1313622 1480956 1937658 2221434 2344847 2627244 2838499 2906487 3875316 4442868 4689694 5676998 5812974 7034541 8515497 9379388 11353996 11625948 14069082 17030994 21103623 25546491 28138164 34061988 42207246 51092982 53931481 84414492 102185964 107862962 161794443 215725924 323588886 485383329 647177772 970766658 1941533316