Search a number
-
+
5157838032 = 243313739293
BaseRepresentation
bin1001100110110111…
…00101110011010000
3111022110101022122020
410303123211303100
541030401304112
62211450211440
7241546620444
oct46333456320
914273338566
105157838032
112207513066
12bbb423b80
13642773289
1436d02a824
15202c3348c
hex1336e5cd0

5157838032 has 80 divisors (see below), whose sum is σ = 13792593408. Its totient is φ = 1659179520.

The previous prime is 5157838027. The next prime is 5157838033. The reversal of 5157838032 is 2308387515.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5157838033) 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 15 ways as a sum of consecutive naturals, for example, 550378 + ... + 559670.

Almost surely, 25157838032 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 5157838032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6896296704).

5157838032 is an abundant number, since it is smaller than the sum of its proper divisors (8634755376).

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

5157838032 is a wasteful number, since it uses less digits than its factorization.

5157838032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9708 (or 9702 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 5157838032 is about 71818.0898659941. The cubic root of 5157838032 is about 1727.7831464413.

The spelling of 5157838032 in words is "five billion, one hundred fifty-seven million, eight hundred thirty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 373 496 744 746 1119 1488 1492 2238 2984 4476 5968 8952 9293 11563 17904 18586 23126 27879 34689 37172 46252 55758 69378 74344 92504 111516 138756 148688 185008 223032 277512 288083 446064 555024 576166 864249 1152332 1728498 2304664 3456996 3466289 4609328 6913992 6932578 10398867 13827984 13865156 20797734 27730312 41595468 55460624 83190936 107454959 166381872 214909918 322364877 429819836 644729754 859639672 1289459508 1719279344 2578919016 5157838032