Search a number
-
+
4975923408 = 2432310343759
BaseRepresentation
bin1001010001001011…
…01001000011010000
3110211210002002200120
410220211221003100
540142314022113
62141431150240
7234210436221
oct45045510320
913753062616
104975923408
1121238629a5
12b6a515380
13613b7baa1
14352bd5248
151e1c9ca23
hex1289690d0

4975923408 has 80 divisors (see below), whose sum is σ = 13543895040. Its totient is φ = 1571087232.

The previous prime is 4975923401. The next prime is 4975923413. The reversal of 4975923408 is 8043295794.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4975923401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91833 + ... + 135591.

It is an arithmetic number, because the mean of its divisors is an integer number (169298688).

Almost surely, 24975923408 is an apocalyptic number.

4975923408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4975923408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6771947520).

4975923408 is an abundant number, since it is smaller than the sum of its proper divisors (8567971632).

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

4975923408 is a wasteful number, since it uses less digits than its factorization.

4975923408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43896 (or 43890 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The square root of 4975923408 is about 70540.2254603712. The cubic root of 4975923408 is about 1707.2268364499.

The spelling of 4975923408 in words is "four billion, nine hundred seventy-five million, nine hundred twenty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 103 138 184 206 276 309 368 412 552 618 824 1104 1236 1648 2369 2472 4738 4944 7107 9476 14214 18952 28428 37904 43759 56856 87518 113712 131277 175036 262554 350072 525108 700144 1006457 1050216 2012914 2100432 3019371 4025828 4507177 6038742 8051656 9014354 12077484 13521531 16103312 18028708 24154968 27043062 36057416 48309936 54086124 72114832 103665071 108172248 207330142 216344496 310995213 414660284 621990426 829320568 1243980852 1658641136 2487961704 4975923408