Search a number
-
+
5471987292 = 22331012332153
BaseRepresentation
bin1010001100010011…
…11110011001011100
3112010100111202102000
411012021332121130
542201312043132
62302551402300
7252413060502
oct50611763134
915110452360
105471987292
112358881052
121088683390
13692886405
1439ca44672
152205d987c
hex14627e65c

5471987292 has 96 divisors (see below), whose sum is σ = 14395268160. Its totient is φ = 1797350400.

The previous prime is 5471987291. The next prime is 5471987309. The reversal of 5471987292 is 2927891745.

5471987292 is a `hidden beast` number, since 5 + 471 + 9 + 87 + 2 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5471987291) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2540488 + ... + 2542640.

It is an arithmetic number, because the mean of its divisors is an integer number (149950710).

Almost surely, 25471987292 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 5471987292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7197634080).

5471987292 is an abundant number, since it is smaller than the sum of its proper divisors (8923280868).

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

5471987292 is a wasteful number, since it uses less digits than its factorization.

5471987292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 2492 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 5471987292 is about 73972.8821393354. The cubic root of 5471987292 is about 1762.1722588422.

The spelling of 5471987292 in words is "five billion, four hundred seventy-one million, nine hundred eighty-seven thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 101 108 202 233 303 404 466 606 699 909 932 1212 1398 1818 2097 2153 2727 2796 3636 4194 4306 5454 6291 6459 8388 8612 10908 12582 12918 19377 23533 25164 25836 38754 47066 58131 70599 77508 94132 116262 141198 211797 217453 232524 282396 423594 434906 501649 635391 652359 847188 869812 1003298 1270782 1304718 1504947 1957077 2006596 2541564 2609436 3009894 3914154 4514841 5871231 6019788 7828308 9029682 11742462 13544523 18059364 23484924 27089046 50666549 54178092 101333098 151999647 202666196 303999294 455998941 607998588 911997882 1367996823 1823995764 2735993646 5471987292