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4681519248 = 243725575449
BaseRepresentation
bin1000101110000101…
…00101000010010000
3110002021002211002210
410113002211002100
534041432103443
62052313112120
7224004154110
oct42702450220
913067084083
104681519248
111a9266077a
12aa79b8640
13597b90043
14325a7b040
151c5ee6c33
hex1170a5090

4681519248 has 80 divisors (see below), whose sum is σ = 13829571200. Its totient is φ = 1336808448.

The previous prime is 4681519247. The next prime is 4681519321. The reversal of 4681519248 is 8429151864.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 4681519197 and 4681519206.

It is not an unprimeable number, because it can be changed into a prime (4681519247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 856428 + ... + 861876.

It is an arithmetic number, because the mean of its divisors is an integer number (172869640).

Almost surely, 24681519248 is an apocalyptic number.

4681519248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4681519248 is an abundant number, since it is smaller than the sum of its proper divisors (9148051952).

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

4681519248 is a wasteful number, since it uses less digits than its factorization.

4681519248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8024 (or 8018 counting only the distinct ones).

The product of its digits is 552960, while the sum is 48.

The square root of 4681519248 is about 68421.6285102891. The cubic root of 4681519248 is about 1672.8703011728.

The spelling of 4681519248 in words is "four billion, six hundred eighty-one million, five hundred nineteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 2557 5114 5449 7671 10228 10898 15342 16347 17899 20456 21796 30684 32694 35798 38143 40912 43592 53697 61368 65388 71596 76286 87184 107394 114429 122736 130776 143192 152572 214788 228858 261552 286384 305144 429576 457716 610288 859152 915432 1830864 13933093 27866186 41799279 55732372 83598558 97531651 111464744 167197116 195063302 222929488 292594953 334394232 390126604 585189906 668788464 780253208 1170379812 1560506416 2340759624 4681519248