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4062249248 = 251925932
BaseRepresentation
bin1111001000100001…
…0000000100100000
3101111002211122100212
43302020100010200
531304413433443
61511032033252
7202444356161
oct36210200440
911432748325
104062249248
1117a5040a92
12954532828
134c97a83a5
142a7719768
1518b96e618
hexf2210120

4062249248 has 54 divisors (see below), whose sum is σ = 8454888729. Its totient is φ = 1920978432.

The previous prime is 4062249241. The next prime is 4062249251. The reversal of 4062249248 is 8429422604.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 4007902864 + 54346384 = 63308^2 + 7372^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=45068.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4062249241) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6850040 + ... + 6850632.

Almost surely, 24062249248 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 4062249248

4062249248 is an abundant number, since it is smaller than the sum of its proper divisors (4392639481).

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

4062249248 is an frugal number, since it uses more digits than its factorization.

4062249248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 41.

The square root of 4062249248 is about 63735.7768290306. The cubic root of 4062249248 is about 1595.5932447940.

The spelling of 4062249248 in words is "four billion, sixty-two million, two hundred forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 361 593 608 722 1186 1444 2372 2888 4744 5776 9488 11267 11552 18976 22534 45068 90136 180272 214073 351649 360544 428146 703298 856292 1406596 1712584 2813192 3425168 5626384 6681331 6850336 11252768 13362662 26725324 53450648 106901296 126945289 213802592 253890578 507781156 1015562312 2031124624 4062249248