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4248379008 = 273212892861
BaseRepresentation
bin1111110100111001…
…0001111010000000
3101222002002000101200
43331032101322000
532200041112013
61541321301200
7210164424426
oct37516217200
911862060350
104248379008
111890110035
129a6934800
13529217343
142c432b116
1519ce88e73
hexfd391e80

4248379008 has 96 divisors (see below), whose sum is σ = 12238913700. Its totient is φ = 1414533120.

The previous prime is 4248379007. The next prime is 4248379117. The reversal of 4248379008 is 8009738424.

4248379008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4084743744 + 163635264 = 63912^2 + 12792^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (4248379007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1483498 + ... + 1486358.

Almost surely, 24248379008 is an apocalyptic number.

4248379008 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 4248379008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6119456850).

4248379008 is an abundant number, since it is smaller than the sum of its proper divisors (7990534692).

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

4248379008 is a wasteful number, since it uses less digits than its factorization.

4248379008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4170 (or 4155 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4248379008 is about 65179.5904252244. The cubic root of 4248379008 is about 1619.5999377918.

The spelling of 4248379008 in words is "four billion, two hundred forty-eight million, three hundred seventy-nine thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1289 2578 2861 3867 5156 5722 7734 8583 10312 11444 11601 15468 17166 20624 22888 23202 25749 30936 34332 41248 45776 46404 51498 61872 68664 82496 91552 92808 102996 123744 137328 164992 183104 185616 205992 247488 274656 366208 371232 411984 494976 549312 742464 823968 1098624 1484928 1647936 3295872 3687829 7375658 11063487 14751316 22126974 29502632 33190461 44253948 59005264 66380922 88507896 118010528 132761844 177015792 236021056 265523688 354031584 472042112 531047376 708063168 1062094752 1416126336 2124189504 4248379008