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613063248 = 243717293701
BaseRepresentation
bin100100100010101…
…001101001010000
31120201120211200020
4210202221221100
52223421010443
6140500023440
721122644260
oct4442515120
91521524606
10613063248
11295070546
12151391b80
139a020825
145b5c77a0
1538c4d583
hex248a9a50

613063248 has 160 divisors (see below), whose sum is σ = 1983087360. Its totient is φ = 159129600.

The previous prime is 613063247. The next prime is 613063261. The reversal of 613063248 is 842360316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613063247) 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 31 ways as a sum of consecutive naturals, for example, 163798 + ... + 167498.

It is an arithmetic number, because the mean of its divisors is an integer number (12394296).

Almost surely, 2613063248 is an apocalyptic number.

613063248 is a gapful number since it is divisible by the number (68) 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 613063248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991543680).

613063248 is an abundant number, since it is smaller than the sum of its proper divisors (1370024112).

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

613063248 is a wasteful number, since it uses less digits than its factorization.

613063248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3765 (or 3759 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 613063248 is about 24760.1140546646. The cubic root of 613063248 is about 849.5098664493.

It can be divided in two parts, 6130 and 63248, that added together give a triangular number (69378 = T372).

The spelling of 613063248 in words is "six hundred thirteen million, sixty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 29 34 42 48 51 56 58 68 84 87 102 112 116 119 136 168 174 203 204 232 238 272 336 348 357 406 408 464 476 493 609 696 714 812 816 952 986 1218 1392 1428 1479 1624 1904 1972 2436 2856 2958 3248 3451 3701 3944 4872 5712 5916 6902 7402 7888 9744 10353 11103 11832 13804 14804 20706 22206 23664 25907 27608 29608 41412 44412 51814 55216 59216 62917 77721 82824 88824 103628 107329 125834 155442 165648 177648 188751 207256 214658 251668 310884 321987 377502 414512 429316 440419 503336 621768 643974 751303 755004 858632 880838 1006672 1243536 1287948 1321257 1502606 1510008 1717264 1761676 1824593 2253909 2575896 2642514 3005212 3020016 3523352 3649186 4507818 5151792 5285028 5473779 6010424 7046704 7298372 9015636 10570056 10947558 12020848 12772151 14596744 18031272 21140112 21895116 25544302 29193488 36062544 38316453 43790232 51088604 76632906 87580464 102177208 153265812 204354416 306531624 613063248