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5292271504 = 2413213992
BaseRepresentation
bin1001110110111000…
…11010011110010000
3111122211100020200201
410323130122132100
541314310142004
62233051424544
7245101364662
oct47334323620
914584306621
105292271504
112276392a03
121038455154
13664581a00
14382c22532
1520e93a6a4
hex13b71a790

5292271504 has 45 divisors (see below), whose sum is σ = 11111143473. Its totient is φ = 2440840896.

The previous prime is 5292271463. The next prime is 5292271507. The reversal of 5292271504 is 4051722925.

The square root of 5292271504 is 72748.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 782880400 + 4509391104 = 27980^2 + 67152^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5292271507) 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 8 ways as a sum of consecutive naturals, for example, 3782197 + ... + 3783595.

Almost surely, 25292271504 is an apocalyptic number.

5292271504 is the 72748-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5292271504

5292271504 is an abundant number, since it is smaller than the sum of its proper divisors (5818871969).

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

5292271504 is an equidigital number, since it uses as much as digits as its factorization.

5292271504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The cubic root of 5292271504 is about 1742.6655213086.

The spelling of 5292271504 in words is "five billion, two hundred ninety-two million, two hundred seventy-one thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 1399 2704 2798 5596 11192 18187 22384 36374 72748 145496 236431 290992 472862 945724 1891448 1957201 3782896 3914402 7828804 15657608 25443613 31315216 50887226 101774452 203548904 330766969 407097808 661533938 1323067876 2646135752 5292271504