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5284107392 = 27149461601
BaseRepresentation
bin1001110101111010…
…10001010010000000
3111122020222110122012
410322331101102000
541310212414032
62232200432052
7244642112624
oct47275212200
914566873565
105284107392
112271817103
121035778628
13662983985
14381ad9184
1520dd766b2
hex13af51480

5284107392 has 64 divisors (see below), whose sum is σ = 10638243000. Its totient is φ = 2614272000.

The previous prime is 5284107373. The next prime is 5284107401. The reversal of 5284107392 is 2937014825.

It can be written as a sum of positive squares in 4 ways, for example, as 4001321536 + 1282785856 = 63256^2 + 35816^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8791892 + ... + 8792492.

Almost surely, 25284107392 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 5284107392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5319121500).

5284107392 is an abundant number, since it is smaller than the sum of its proper divisors (5354135608).

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

5284107392 is a wasteful number, since it uses less digits than its factorization.

5284107392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 5284107392 is about 72691.8660649182. The cubic root of 5284107392 is about 1741.7689536329.

The spelling of 5284107392 in words is "five billion, two hundred eighty-four million, one hundred seven thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 128 149 298 461 596 601 922 1192 1202 1844 2384 2404 3688 4768 4808 7376 9536 9616 14752 19072 19232 29504 38464 59008 68689 76928 89549 137378 179098 274756 277061 358196 549512 554122 716392 1099024 1108244 1432784 2198048 2216488 2865568 4396096 4432976 5731136 8792192 8865952 11462272 17731904 35463808 41282089 82564178 165128356 330256712 660513424 1321026848 2642053696 5284107392