Search a number
-
+
5027696928 = 253239743973
BaseRepresentation
bin1001010111010110…
…01001000100100000
3110222101111110121100
410223223021010200
540244042300203
62150520554400
7235406501352
oct45353110440
913871443540
105027696928
112150005131
12b83922a00
136218084c7
14359a310d2
151e65c7ea3
hex12bac9120

5027696928 has 72 divisors (see below), whose sum is σ = 14333852988. Its totient is φ = 1671639552.

The previous prime is 5027696917. The next prime is 5027696939. The reversal of 5027696928 is 8296967205.

5027696928 is a `hidden beast` number, since 502 + 76 + 9 + 69 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5027696917) and next prime (5027696939).

It can be written as a sum of positive squares in 2 ways, for example, as 4997358864 + 30338064 = 70692^2 + 5508^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92350 + ... + 136322.

Almost surely, 25027696928 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 5027696928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7166926494).

5027696928 is an abundant number, since it is smaller than the sum of its proper divisors (9306156060).

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

5027696928 is a wasteful number, since it uses less digits than its factorization.

5027696928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44386 (or 44375 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 5027696928 is about 70906.2545055089. The cubic root of 5027696928 is about 1713.1275399021.

The spelling of 5027696928 in words is "five billion, twenty-seven million, six hundred ninety-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 397 794 1191 1588 2382 3176 3573 4764 6352 7146 9528 12704 14292 19056 28584 38112 43973 57168 87946 114336 131919 175892 263838 351784 395757 527676 703568 791514 1055352 1407136 1583028 2110704 3166056 4221408 6332112 12664224 17457281 34914562 52371843 69829124 104743686 139658248 157115529 209487372 279316496 314231058 418974744 558632992 628462116 837949488 1256924232 1675898976 2513848464 5027696928