Search a number
-
+
968487516 = 223425111909
BaseRepresentation
bin111001101110011…
…111001001011100
32111111101021010000
4321232133021130
53440413100031
6240034014300
733000002523
oct7156371134
92444337100
10968487516
11457760007
12230417390
13125855949
14928a74ba
155a0593e6
hex39b9f25c

968487516 has 60 divisors (see below), whose sum is σ = 2542118040. Its totient is φ = 321516000.

The previous prime is 968487463. The next prime is 968487517. The reversal of 968487516 is 615784869.

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 (968487517) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 75370 + ... + 87278.

It is an arithmetic number, because the mean of its divisors is an integer number (42368634).

Almost surely, 2968487516 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 968487516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271059020).

968487516 is an abundant number, since it is smaller than the sum of its proper divisors (1573630524).

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

968487516 is a wasteful number, since it uses less digits than its factorization.

968487516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12176 (or 12165 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 968487516 is about 31120.5320648603. The cubic root of 968487516 is about 989.3835280490.

The spelling of 968487516 in words is "nine hundred sixty-eight million, four hundred eighty-seven thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 251 324 502 753 1004 1506 2259 3012 4518 6777 9036 11909 13554 20331 23818 27108 35727 40662 47636 71454 81324 107181 142908 214362 321543 428724 643086 964629 1286172 1929258 2989159 3858516 5978318 8967477 11956636 17934954 26902431 35869908 53804862 80707293 107609724 161414586 242121879 322829172 484243758 968487516