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494045568 = 2734172803
BaseRepresentation
bin11101011100101…
…000100110000000
31021102122010010000
4131130220212000
52002433424233
6121005040000
715146214042
oct3534504600
91242563100
10494045568
1123396a825
12119556000
137b47ba73
1449885a92
152d58dd13
hex1d728980

494045568 has 160 divisors (see below), whose sum is σ = 1557313560. Its totient is φ = 154939392.

The previous prime is 494045567. The next prime is 494045569. The reversal of 494045568 is 865540494.

494045568 is a `hidden beast` number, since 4 + 9 + 40 + 45 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (494045567) and next prime (494045569).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494045567) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 174855 + ... + 177657.

Almost surely, 2494045568 is an apocalyptic number.

494045568 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 494045568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778656780).

494045568 is an abundant number, since it is smaller than the sum of its proper divisors (1063267992).

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

494045568 is a wasteful number, since it uses less digits than its factorization.

494045568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2846 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 494045568 is about 22227.1358478775. The cubic root of 494045568 is about 790.5372449857.

The spelling of 494045568 in words is "four hundred ninety-four million, forty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 128 136 144 153 162 192 204 216 272 288 306 324 384 408 432 459 544 576 612 648 816 864 918 1088 1152 1224 1296 1377 1632 1728 1836 2176 2448 2592 2754 2803 3264 3456 3672 4896 5184 5508 5606 6528 7344 8409 9792 10368 11016 11212 14688 16818 19584 22032 22424 25227 29376 33636 44064 44848 47651 50454 58752 67272 75681 88128 89696 95302 100908 134544 142953 151362 176256 179392 190604 201816 227043 269088 285906 302724 358784 381208 403632 428859 454086 538176 571812 605448 762416 807264 857718 908172 1076352 1143624 1210896 1286577 1524832 1614528 1715436 1816344 2287248 2421792 2573154 3049664 3229056 3430872 3632688 3859731 4574496 4843584 5146308 6099328 6861744 7265376 7719462 9148992 9687168 10292616 13723488 14530752 15438924 18297984 20585232 27446976 29061504 30877848 41170464 54893952 61755696 82340928 123511392 164681856 247022784 494045568