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5248741392 = 2432976132
BaseRepresentation
bin1001110001101100…
…10111000000010000
3111112210102200121100
410320312113000100
541222134211032
62224454424400
7244032365016
oct47066270020
914483380540
105248741392
112253861104
121025962100
1365855044b
1437b1308b6
1520abdc97c
hex138d97010

5248741392 has 90 divisors (see below), whose sum is σ = 14864870202. Its totient is φ = 1728718848.

The previous prime is 5248741387. The next prime is 5248741417. The reversal of 5248741392 is 2931478425.

5248741392 is a `hidden beast` number, since 524 + 87 + 41 + 3 + 9 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 655155216 + 4593586176 = 25596^2 + 67776^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8562078 + ... + 8562690.

Almost surely, 25248741392 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 5248741392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7432435101).

5248741392 is an abundant number, since it is smaller than the sum of its proper divisors (9616128810).

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

5248741392 is an equidigital number, since it uses as much as digits as its factorization.

5248741392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 715 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 5248741392 is about 72448.1979900121. The cubic root of 5248741392 is about 1737.8744238845.

The spelling of 5248741392 in words is "five billion, two hundred forty-eight million, seven hundred forty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 194 291 388 582 613 776 873 1164 1226 1552 1746 1839 2328 2452 3492 3678 4656 4904 5517 6984 7356 9808 11034 13968 14712 22068 29424 44136 59461 88272 118922 178383 237844 356766 375769 475688 535149 713532 751538 951376 1070298 1127307 1427064 1503076 2140596 2254614 2854128 3006152 3381921 4281192 4509228 6012304 6763842 8562384 9018456 13527684 18036912 27055368 36449593 54110736 72899186 109348779 145798372 218697558 291596744 328046337 437395116 583193488 656092674 874790232 1312185348 1749580464 2624370696 5248741392