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1481613768 = 2337194457
BaseRepresentation
bin101100001001111…
…1010000111001000
310211020220210000000
41120103322013020
511013243120033
6403004043000
751500336445
oct13023720710
93736823000
101481613768
116a0372398
12354233460
131a7c5554b
14100ab89cc
158a116a13
hex584fa1c8

1481613768 has 128 divisors (see below), whose sum is σ = 4386672000. Its totient is φ = 467773056.

The previous prime is 1481613751. The next prime is 1481613773. The reversal of 1481613768 is 8673161841.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330196 + ... + 334652.

It is an arithmetic number, because the mean of its divisors is an integer number (34270875).

Almost surely, 21481613768 is an apocalyptic number.

1481613768 is a gapful number since it is divisible by the number (18) 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 1481613768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193336000).

1481613768 is an abundant number, since it is smaller than the sum of its proper divisors (2905058232).

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

1481613768 is an equidigital number, since it uses as much as digits as its factorization.

1481613768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4503 (or 4481 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 1481613768 is about 38491.7363598994. The cubic root of 1481613768 is about 1140.0178944560.

The spelling of 1481613768 in words is "one billion, four hundred eighty-one million, six hundred thirteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 243 324 342 456 486 513 648 684 729 972 1026 1368 1458 1539 1944 2052 2187 2916 3078 4104 4374 4457 4617 5832 6156 8748 8914 9234 12312 13371 13851 17496 17828 18468 26742 27702 35656 36936 40113 41553 53484 55404 80226 83106 84683 106968 110808 120339 160452 166212 169366 240678 254049 320904 332424 338732 361017 481356 508098 677464 722034 762147 962712 1016196 1083051 1444068 1524294 2032392 2166102 2286441 2888136 3048588 3249153 4332204 4572882 6097176 6498306 6859323 8664408 9145764 9747459 12996612 13718646 18291528 19494918 20577969 25993224 27437292 38989836 41155938 54874584 61733907 77979672 82311876 123467814 164623752 185201721 246935628 370403442 493871256 740806884 1481613768